Mark's geometric mean

Algebra Level 2

If two numbers have arithmetic mean 2700 and harmonic mean 75, then find their geometric mean.


Note:

  • The arithmetic mean of two numbers aa and bb is a+b2\frac{a+b}2.
  • The harmonic mean of two numbers aa and bb is 21a+1b \frac2{\frac1{a} + \frac1{b}} .
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