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Actually friction and normal .. both are components of contact force..
now if the contact force F is acting at an angle t with the vertical, normal is N = Fcost and friction is f = Fsint... Hence, friction, f = Ntant.... thus f and N are proportional
But as its difficult to mechanically measure F and t, and we are generally concerned with the components f and N, we use N and f directly instead of starting with F and t every time.
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