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Finding the Third Proportional to 29,115 and 63,522

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Solution

The third proportional to 29,115 and 63,522 is: 138,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,115 : 63,522 = 63,522 : x
  2. Step 2: Convert to fraction form
    29,115/63,522 = 63,522/x
  3. Step 3: Cross multiply
    29,115x = 63,522 × 63,522
  4. Step 4: Simplify right side
    29,115x = 4,035,044,484
  5. Step 5: Solve for x
    x = 4,035,044,484/29,115
  6. Step 6: Final answer
    x = 138,589.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.