According to the Kepler's Third Law, the ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun.
Thus, pmoon2psat2=dmoon3dsat3
or dsat=dmoon(pmoon2psat2)31
Since, psat=1day,dsat=300000(28212)31=32535km
The altitude of the geostationary satellite from the centre of the earth is 32535 km.
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