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Finding the Third Proportional to 40,524 and 54,554

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Solution

The third proportional to 40,524 and 54,554 is: 73,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,524 : 54,554 = 54,554 : x
  2. Step 2: Convert to fraction form
    40,524/54,554 = 54,554/x
  3. Step 3: Cross multiply
    40,524x = 54,554 × 54,554
  4. Step 4: Simplify right side
    40,524x = 2,976,138,916
  5. Step 5: Solve for x
    x = 2,976,138,916/40,524
  6. Step 6: Final answer
    x = 73,441.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.