Finding the Third Proportional to 38,416 and 81,389
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Solution
The third proportional to 38,416 and 81,389 is: 172,432.56
Step by Step Solution
- Step 1: Write the proportion equation
38,416 : 81,389 = 81,389 : x - Step 2: Convert to fraction form
38,416/81,389 = 81,389/x - Step 3: Cross multiply
38,416x = 81,389 × 81,389 - Step 4: Simplify right side
38,416x = 6,624,169,321 - Step 5: Solve for x
x = 6,624,169,321/38,416 - Step 6: Final answer
x = 172,432.56
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.