Right. It didn’t make any sense to me.
I think that the 25,000 mph number is the velocity required to escape the earth’s gravitational pull and get to the moon. 25,000 mph is the initial velocity. You will decelerate after the final de-orbit burn due to the earth’s gravity and continue to decelerate until the moon’s gravitational pull is greater than the earth’s. The trick is to calculate what that point is and fall into lunar orbit at precisely the right velocity to require only a minor correction in velocity. Too fast and you will zip by and enter into an elliptical orbit (at best). Too slow and you crash into the moon.