Great tip, Nushera!
Once again, Nushera’s comment points to underbaking as the problem. Placing the cake pan on another pan will tend to insulate the bottom and slow down cooking there.
rboehme, it surely sounds like it would help to check your oven temperature! Or if that’s going to be difficult, you could try turning the oven up by 10 degrees or so the next time you bake this recipe, and see if that helps. You say cakes back in about the right time, but a bit towards the longer end of the cooking time - once again, a sign that your oven might be running a little cool.
When I first got my stove, the oven was quite accurate - but now, five years later, I’m finding that it is running cool by somewhere around 15-20 degrees. Maybe sometime I’ll pay to get it adjusted, but in the meantime, I’m hovering by the oven window watching the thermometer inside the oven. It helps my baking results a lot!