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Finding the Third Proportional to 41,892 and 55,061

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Solution

The third proportional to 41,892 and 55,061 is: 72,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,892 : 55,061 = 55,061 : x
  2. Step 2: Convert to fraction form
    41,892/55,061 = 55,061/x
  3. Step 3: Cross multiply
    41,892x = 55,061 × 55,061
  4. Step 4: Simplify right side
    41,892x = 3,031,713,721
  5. Step 5: Solve for x
    x = 3,031,713,721/41,892
  6. Step 6: Final answer
    x = 72,369.75

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.