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Finding the Third Proportional to 12,584 and 29,691

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Solution

The third proportional to 12,584 and 29,691 is: 70,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584 : 29,691 = 29,691 : x
  2. Step 2: Convert to fraction form
    12,584/29,691 = 29,691/x
  3. Step 3: Cross multiply
    12,584x = 29,691 × 29,691
  4. Step 4: Simplify right side
    12,584x = 881,555,481
  5. Step 5: Solve for x
    x = 881,555,481/12,584
  6. Step 6: Final answer
    x = 70,053.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.