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Finding the Third Proportional to 11,892 and 16,743

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Solution

The third proportional to 11,892 and 16,743 is: 23,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892 : 16,743 = 16,743 : x
  2. Step 2: Convert to fraction form
    11,892/16,743 = 16,743/x
  3. Step 3: Cross multiply
    11,892x = 16,743 × 16,743
  4. Step 4: Simplify right side
    11,892x = 280,328,049
  5. Step 5: Solve for x
    x = 280,328,049/11,892
  6. Step 6: Final answer
    x = 23,572.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.