Finding the Third Proportional to 15,707.50 and 34,142
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Solution
The third proportional to 15,707.50 and 34,142 is: 74,211.44
Step by Step Solution
- Step 1: Write the proportion equation
15,707.50 : 34,142 = 34,142 : x - Step 2: Convert to fraction form
15,707.50/34,142 = 34,142/x - Step 3: Cross multiply
15,707.50x = 34,142 × 34,142 - Step 4: Simplify right side
15,707.50x = 1,165,676,164 - Step 5: Solve for x
x = 1,165,676,164/15,707.50 - Step 6: Final answer
x = 74,211.44
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.