



How are proportions used to ensure structural integrity? How are ratios and proportions used in sports (e.g., win-loss ratios)?
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- Discuss how ratios are used in achieving desired results or proportions in these activities.
- Explain the calculation of fuel efficiency using ratios.
- Discuss some common tricks and shortcuts used in solving ratio and proportion problems.
- Discuss how proportions are used in analyzing consumer behavior and trends. How are ratios and proportions used in sports analytics and performance evaluation?
- How are proportions used to balance the levels of different instruments? How are ratios and proportions used in design (e.g., color ratios)?
- Discuss potential biases or misinterpretations that can arise from using ratios without context.
- What are the means and extremes of a proportion?
- If the radii of two circles are in the ratio 2 5, what is the ratio of their circumferences?
- Find the mean proportional between 4 and 9. What are some advanced applications of ratios and proportions in mathematics?
- How do you find the ratio of three quantities?
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