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Finding the Third Proportional to 18,542 and 40,792

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Solution

The third proportional to 18,542 and 40,792 is: 89,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542 : 40,792 = 40,792 : x
  2. Step 2: Convert to fraction form
    18,542/40,792 = 40,792/x
  3. Step 3: Cross multiply
    18,542x = 40,792 × 40,792
  4. Step 4: Simplify right side
    18,542x = 1,663,987,264
  5. Step 5: Solve for x
    x = 1,663,987,264/18,542
  6. Step 6: Final answer
    x = 89,741.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.