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Discover LudwigSuggestions(5)
The phrase "arrival of a third" is correct and usable in written English.
It can be used in contexts where you are discussing the introduction or coming of a third party, element, or factor in a situation.
Example: "The arrival of a third participant in the discussion changed the dynamics of the conversation."
Alternatives: "introduction of a third" or "coming of a third".
Exact(14)
These books signal the arrival of a third force.
Will the arrival of a third child in 2014 distract him?
The arrival of a third Clinton generation offers a projection of Hillary-as-devoted-grandmother.
Their peace is shattered by the arrival of a third character, Man.
They have two young sons now, and the arrival of a third child is shortly to be announced.
By then the household included two young boys, Spencer and Alexander, and space was tight, especially after the arrival of a third child, a daughter named Persephone.
Similar(46)
Her photographs document an evolving friendship, ending with the arrival of a second, new doll.
The arrival of a second child might prompt families to look for larger apartments.
And it ended, predictably enough, with the arrival of a fourth party: Jill Balcon.
The arrival of a fourth character upsets the balance, with tragic consequences.
Coalition levels in the southwest will be bolstered by the arrival of a second battalion from the Georgian Army.
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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