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Finding the Third Proportional to 29,691 and 43,564

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Solution

The third proportional to 29,691 and 43,564 is: 63,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691 : 43,564 = 43,564 : x
  2. Step 2: Convert to fraction form
    29,691/43,564 = 43,564/x
  3. Step 3: Cross multiply
    29,691x = 43,564 × 43,564
  4. Step 4: Simplify right side
    29,691x = 1,897,822,096
  5. Step 5: Solve for x
    x = 1,897,822,096/29,691
  6. Step 6: Final answer
    x = 63,919.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.