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Finding the Third Proportional to 29,446 and 63,100

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Solution

The third proportional to 29,446 and 63,100 is: 135,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,446 : 63,100 = 63,100 : x
  2. Step 2: Convert to fraction form
    29,446/63,100 = 63,100/x
  3. Step 3: Cross multiply
    29,446x = 63,100 × 63,100
  4. Step 4: Simplify right side
    29,446x = 3,981,610,000
  5. Step 5: Solve for x
    x = 3,981,610,000/29,446
  6. Step 6: Final answer
    x = 135,217.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.