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Finding the Third Proportional to 40,884 and 54,552

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Solution

The third proportional to 40,884 and 54,552 is: 72,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,884 : 54,552 = 54,552 : x
  2. Step 2: Convert to fraction form
    40,884/54,552 = 54,552/x
  3. Step 3: Cross multiply
    40,884x = 54,552 × 54,552
  4. Step 4: Simplify right side
    40,884x = 2,975,920,704
  5. Step 5: Solve for x
    x = 2,975,920,704/40,884
  6. Step 6: Final answer
    x = 72,789.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.