The phrase "logical extension" means taking an idea or concept and continuing it in a way that makes sense or follows a logical progression. It's like adding onto something based on what came before it. Full definition
The other thing that would be next logical extension is in fueling times. (corvetteracing.com)
But I want you to see them as your best efforts, as the most logical extension of your culture. (theseenjournal.org)
Her diet was a seemingly logical extension of basic chemistry: If you want to «reduce,» you need to put less energy into your body than it uses up. (businessinsider.com)