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Finding the Third Proportional to 32,681 and 71,586

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Solution

The third proportional to 32,681 and 71,586 is: 156,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681 : 71,586 = 71,586 : x
  2. Step 2: Convert to fraction form
    32,681/71,586 = 71,586/x
  3. Step 3: Cross multiply
    32,681x = 71,586 × 71,586
  4. Step 4: Simplify right side
    32,681x = 5,124,555,396
  5. Step 5: Solve for x
    x = 5,124,555,396/32,681
  6. Step 6: Final answer
    x = 156,805.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.