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Finding the Third Proportional to 32,716 and 71,663

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Solution

The third proportional to 32,716 and 71,663 is: 156,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716 : 71,663 = 71,663 : x
  2. Step 2: Convert to fraction form
    32,716/71,663 = 71,663/x
  3. Step 3: Cross multiply
    32,716x = 71,663 × 71,663
  4. Step 4: Simplify right side
    32,716x = 5,135,585,569
  5. Step 5: Solve for x
    x = 5,135,585,569/32,716
  6. Step 6: Final answer
    x = 156,974.74

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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.