Hello,
Assume a and b the 2 numbers.
[tex] \dfrac{a+b}{2}=2700\\
\dfrac{1}{a} + \dfrac{1}{b}= \dfrac{2}{75}\\
a+b=2*2700\\\\
\dfrac{a+b}{ab} = \dfrac{2}{75} ==\ \textgreater \ 75*(a+b)=2ab\\\\
2ab=75*2*2700\\\\
ab=75*2700=202500\\\\
\boxed{ \sqrt{ab} =450}\\
[/tex]
