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The phrase "a third step of" is correct and usable in written English.
It can be used when outlining a sequence of actions or stages in a process, particularly when referring to the third item in that sequence.
Example: "In the project plan, a third step of conducting user testing is essential for gathering feedback."
Alternatives: "the third stage of" or "the third phase of".
Exact(7)
The simulation continued at 300 K, constant pressure, during a third step of the heating phase.
A third step of the analysis reviewed the internal relationships between the various VMC measures.
In a third step of our literature search, we located all of the citing publications for a series of articles (found in the first and second steps) for which there are a fairly large number of citations in Web of Science.
In a third step of the analysis, we tested the value of the calculated mathematical functions to predict the ICP in the test group.
As a third step of validation, we employed an integrated domain architecture definition obtained from various databases to provide a more comprehensive and complete definition of domains to the sequences obtained.
To this end, a third step of EGN (option 3 in EGN Main Menu) parses the results of the similarity search according to a set of properties that any pair of sequences showing similarity must satisfy to be included in a gene or genome network.
Similar(53)
It is only a first step, of course.
About 175 governments took a first step of signing onto the deal on Friday.
People still forget about the toner and very mistakenly they still use it as a second step of cleansing.
The committee said today that it had already agreed "a first step" of cutting the value of the expenses claims that can be submitted without a receipt.
It is a first step of an ongoing research.
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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