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No, not all do. The proportionality constants that change the units will have units themselves.
Yes, it does. Every time there are variables in direct or inverse relationship, there is a constant of proportionality.
Various options: y is directly proportional to k, with x as the constant of proportionality; y is directly proportional to x, with k as the constant of proportionality; x is inversely proportional to k, with y as the constant of proportionality; x is directly proportional to y, with 1/k as the constant of proportionality; k is directly proportional to y, with 1/x as the constant of proportionality; and k is inversely proportional to x, with y as the constant of proportionality.
Cardinal proportionality refers to the representation of quantities or values based on their absolute amounts, focusing on the actual size of the numbers involved. In contrast, ordinal proportionality is concerned with the rank or order of values rather than their magnitude, emphasizing the relative position of items within a set. Essentially, cardinal proportionality deals with "how much," while ordinal proportionality deals with "what position" in a hierarchy or sequence.
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