# Category:Ratios

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This category contains results about **Ratios**.

Let $x$ and $y$ be quantities which have the same dimensions.

Let $\dfrac x y = \dfrac a b$ for two numbers $a$ and $b$.

Then the **ratio of $x$ to $y$** is defined as:

- $x : y = a : b$

It explicitly specifies how many times the first number contains the second.

## Subcategories

This category has only the following subcategory.

### M

## Pages in category "Ratios"

The following 37 pages are in this category, out of 37 total.

### E

### I

### M

- Magnitudes Proportional Compounded are Proportional Separated
- Magnitudes Proportional Separated are Proportional Compounded
- Magnitudes with Same Ratios are Equal
- Multiples of Alternate Ratios of Equal Fractions
- Multiples of Ratios of Numbers
- Multiples of Terms in Equal Ratios
- Multiples of Terms in Equal Ratios/Euclid's Proof

### P

- Proportion of Numbers is Transitive
- Proportional Magnitudes are Proportional Alternately
- Proportional Magnitudes have Proportional Remainders
- Proportional Magnitudes have Proportional Remainders/Porism
- Proportional Numbers are Proportional Alternately
- Proportional Numbers have Proportional Differences

### R

- Ratio Equals its Multiples
- Ratios of Equal Magnitudes
- Ratios of Equal Magnitudes/Porism
- Ratios of Fractions in Lowest Terms
- Ratios of Multiples of Numbers
- Ratios of Numbers is Distributive over Addition
- Relation of Ratios to Products
- Relative Sizes of Components of Ratios
- Relative Sizes of Elements in Perturbed Proportion
- Relative Sizes of Magnitudes on Unequal Ratios
- Relative Sizes of Proportional Magnitudes
- Relative Sizes of Ratios on Unequal Magnitudes
- Relative Sizes of Successive Ratios