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Finding the Third Proportional to 29,001 and 61,113

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Solution

The third proportional to 29,001 and 61,113 is: 128,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,001 : 61,113 = 61,113 : x
  2. Step 2: Convert to fraction form
    29,001/61,113 = 61,113/x
  3. Step 3: Cross multiply
    29,001x = 61,113 × 61,113
  4. Step 4: Simplify right side
    29,001x = 3,734,798,769
  5. Step 5: Solve for x
    x = 3,734,798,769/29,001
  6. Step 6: Final answer
    x = 128,781.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.