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Finding the Third Proportional to 32,854 and 49,691

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Solution

The third proportional to 32,854 and 49,691 is: 75,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854 : 49,691 = 49,691 : x
  2. Step 2: Convert to fraction form
    32,854/49,691 = 49,691/x
  3. Step 3: Cross multiply
    32,854x = 49,691 × 49,691
  4. Step 4: Simplify right side
    32,854x = 2,469,195,481
  5. Step 5: Solve for x
    x = 2,469,195,481/32,854
  6. Step 6: Final answer
    x = 75,156.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.