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Finding the Third Proportional to 21,691 and 29,464

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Solution

The third proportional to 21,691 and 29,464 is: 40,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691 : 29,464 = 29,464 : x
  2. Step 2: Convert to fraction form
    21,691/29,464 = 29,464/x
  3. Step 3: Cross multiply
    21,691x = 29,464 × 29,464
  4. Step 4: Simplify right side
    21,691x = 868,127,296
  5. Step 5: Solve for x
    x = 868,127,296/21,691
  6. Step 6: Final answer
    x = 40,022.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.