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Finding the Third Proportional to 29,772 and 40,542

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Solution

The third proportional to 29,772 and 40,542 is: 55,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772 : 40,542 = 40,542 : x
  2. Step 2: Convert to fraction form
    29,772/40,542 = 40,542/x
  3. Step 3: Cross multiply
    29,772x = 40,542 × 40,542
  4. Step 4: Simplify right side
    29,772x = 1,643,653,764
  5. Step 5: Solve for x
    x = 1,643,653,764/29,772
  6. Step 6: Final answer
    x = 55,208.04

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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.