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Finding the Third Proportional to 29,552 and 63,496

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Solution

The third proportional to 29,552 and 63,496 is: 136,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,552 : 63,496 = 63,496 : x
  2. Step 2: Convert to fraction form
    29,552/63,496 = 63,496/x
  3. Step 3: Cross multiply
    29,552x = 63,496 × 63,496
  4. Step 4: Simplify right side
    29,552x = 4,031,742,016
  5. Step 5: Solve for x
    x = 4,031,742,016/29,552
  6. Step 6: Final answer
    x = 136,428.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.