Final answer:
Equivalent ratios to 5:3 can be found by scaling both terms by the same factor. Examples include 10:6, 20:12, and 25:15. These are expressed through proportions, which are essential in many fields, including health sciences and when using scale factors in measurements.
Step-by-step explanation:
Ratios equivalent to 5:3 can be found by multiplying or dividing both terms of the ratio by the same non-zero number. To create equivalent ratios, you choose a scale factor and apply it to both terms of the original ratio.
Examples of Equivalent Ratios to 5:3:
Multiplying both terms by 2 gives us 10:6.
Multiplying both terms by 4 gives us 20:12.
Multiplying both terms by 5 gives us 25:15.
Proportions are used to express these relationships. For instance, the proportion can be written as 5/3 = 10/6, where both ratios are equivalent. This is similar to what we find in various fields, such as health sciences, where ratio solutions are typically expressed as a proportion, like 1:1000, to detail the strength of a solution.
Using Scale Factor is another context where ratios and proportions are commonly used. A unit scale is a ratio that compares dimensions of an actual object to a model or drawing. For example, a map's unit scale might be 1 inch = 100 feet, which can also be considered a proportion if related to another ratio that is equivalent.