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Finding the Third Proportional to 29,744 and 43,792

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Solution

The third proportional to 29,744 and 43,792 is: 64,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744 : 43,792 = 43,792 : x
  2. Step 2: Convert to fraction form
    29,744/43,792 = 43,792/x
  3. Step 3: Cross multiply
    29,744x = 43,792 × 43,792
  4. Step 4: Simplify right side
    29,744x = 1,917,739,264
  5. Step 5: Solve for x
    x = 1,917,739,264/29,744
  6. Step 6: Final answer
    x = 64,474.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.