Many passives have a Zin of 10K or less and this is further reduce by the Zin of the amp. At full volume they are in parallel so a 10K passive and a 10K amp would result in a 5K load for the pre. That is problematic for many CD players and phono stages no matter how much voltage they can generate with no load applied.
Reviewing my response I see that my point was not clearly stated. What I meant was that in your example it would be obvious to me based on my own personal criteria that an amp with 10k input impedance would not be a good match for a passive. I'm not saying that you a stating otherwise. I understand you were just using the numbers to illustrate an example, which is of interest to me and why I was wondering about the formula you used to come up with the calculation.