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Finding the Third Proportional to 29,912 and 61,744

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Solution

The third proportional to 29,912 and 61,744 is: 127,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912 : 61,744 = 61,744 : x
  2. Step 2: Convert to fraction form
    29,912/61,744 = 61,744/x
  3. Step 3: Cross multiply
    29,912x = 61,744 × 61,744
  4. Step 4: Simplify right side
    29,912x = 3,812,321,536
  5. Step 5: Solve for x
    x = 3,812,321,536/29,912
  6. Step 6: Final answer
    x = 127,451.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.