Finding the Third Proportional to 29 and 42.50
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Solution
The third proportional to 29 and 42.50 is: 62.28
Step by Step Solution
- Step 1: Write the proportion equation
29 : 42.50 = 42.50 : x - Step 2: Convert to fraction form
29/42.50 = 42.50/x - Step 3: Cross multiply
29x = 42.50 × 42.50 - Step 4: Simplify right side
29x = 1,806.25 - Step 5: Solve for x
x = 1,806.25/29 - Step 6: Final answer
x = 62.28
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.