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Finding the Third Proportional to 29,791 and 40,569

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Solution

The third proportional to 29,791 and 40,569 is: 55,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,791 : 40,569 = 40,569 : x
  2. Step 2: Convert to fraction form
    29,791/40,569 = 40,569/x
  3. Step 3: Cross multiply
    29,791x = 40,569 × 40,569
  4. Step 4: Simplify right side
    29,791x = 1,645,843,761
  5. Step 5: Solve for x
    x = 1,645,843,761/29,791
  6. Step 6: Final answer
    x = 55,246.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.