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Finding the Third Proportional to 41,067 and 45,387

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Solution

The third proportional to 41,067 and 45,387 is: 50,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,067 : 45,387 = 45,387 : x
  2. Step 2: Convert to fraction form
    41,067/45,387 = 45,387/x
  3. Step 3: Cross multiply
    41,067x = 45,387 × 45,387
  4. Step 4: Simplify right side
    41,067x = 2,059,979,769
  5. Step 5: Solve for x
    x = 2,059,979,769/41,067
  6. Step 6: Final answer
    x = 50,161.44

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.