MSTRAM,
I think Genghis's comment refers to the arithmetic, rather than aerodynamics of any particular aircraft or propulsion system.
Propulsive power = Thrust x TAS.
If for example you are producing 50000 ft lb /min of propulsive power when flying at 100 ft/min, you have a thrust of 500 lb, because 100 ft/min x 500 lb = 50000 ft lb / min.
If this thrust accelerates you to 1000 ft/min with no change in propulsive power, you will then have a thrust of only 50 lb, because 50 lb x 1000 ft / min = the same 50000 ft lb / min.
In reality the thrust produced by a propeller aircraft decreases rapidly as TAS increases. So as TAS increases, propulsive power increases to a peak at a fairly low TAS, then decreases as TAS continues to increase.
In a jet (for the purposes of the JAR POF exam) thrust is approximately constant as TAS increases. So propulsive power increases approximately linearly, as TAS increases.
For the AGK exam however you need to remember that jet thrust really decreases as you accelerate from zero, levels off at about 250 Kts as ram effect kicks in, then returns to its original value by about 500 Kts. These figures are of course all generalisations used for examination purposes.