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The phrase "after a certain proportion of" is correct and usable in written English.
It can be used when discussing a specific fraction or percentage of something in a context that requires measurement or comparison.
Example: "The results showed significant improvement after a certain proportion of the participants completed the training program."
Alternatives: "following a specific percentage of" or "after a defined fraction of".
Exact(2)
Current guidelines recommend transfusion when prothrombin time ratio or activated partial thromboplastin time ratio >1.5, platelet count <50 × 10 /l, or fibrinogen level <1.5 to 2.0 g/l [ 2], or after a certain proportion of the circulating volume is lost.
An interim analysis after a certain proportion of the data had been collected would allow adjustments to the sample size to be made, or potentially would allow data collection to stop altogether.
Similar(57)
The pretreatment of Brachypodium segments with 4%H2SO44 resulted in a lower production of sugars from stem segments after enzymatic hydrolysis, suggesting that a certain proportion of the polysaccharides accessible to the enzymes are released by the acid during the pretreatment.
A certain proportion of patients receive BCS after NAC, though this varies widely according to inclusion and selection criteria (Chen et al, 2004).
There's also the novelty aspect of a new app: users download apps but often stop using them after a while, and perhaps the same may go for a certain proportion of people who have downloaded older music apps.
Each year a certain proportion of the population dies either after reproducing or due to other causes.
A result would be an equilibrium with a certain proportion of tinkers and a certain proportion of tailors.
Culling involves removing a certain proportion of a population, but is based on concrete population numbers.
The government requires a certain proportion of UK electricity to come from renewable sources.
So the argument that we are "meant" to eat a certain proportion of meat, say, is highly questionable.
In a certain proportion of women who use it, men just seem to find them more attractive.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com