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What does directly proportional mean?

Looking for the meaning or definition of the word directly proportional? Here's what it means.

Adjective
  1. (mathematics) Proportional to a constant multiple of an independent variable.
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Examples
Swords and knives, especially, were made to be directly proportional to the size of the user.
The ratio of the squares of the periods of two planets is directly proportional to the ratio of the cubes of the radii of their orbits.
Thus the intensity of fluorescence is directly proportional to the amount of nisin in the environment.
A culture's excitement about the web is directly proportional to that culture's alienation from its everyday experience.
The price of vineyard land is not directly proportional to the price fetched by grapes grown on it, however.
This offset depends on the angle of incidence, the index of refraction, and is directly proportional to the thickness of the slab.

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