Finding the Third Proportional to 15,710 and 32,514
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Solution
The third proportional to 15,710 and 32,514 is: 67,292.18
Step by Step Solution
- Step 1: Write the proportion equation
15,710 : 32,514 = 32,514 : x - Step 2: Convert to fraction form
15,710/32,514 = 32,514/x - Step 3: Cross multiply
15,710x = 32,514 × 32,514 - Step 4: Simplify right side
15,710x = 1,057,160,196 - Step 5: Solve for x
x = 1,057,160,196/15,710 - Step 6: Final answer
x = 67,292.18
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.