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Finding the Third Proportional to 23,743 and 36,762

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Solution

The third proportional to 23,743 and 36,762 is: 56,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743 : 36,762 = 36,762 : x
  2. Step 2: Convert to fraction form
    23,743/36,762 = 36,762/x
  3. Step 3: Cross multiply
    23,743x = 36,762 × 36,762
  4. Step 4: Simplify right side
    23,743x = 1,351,444,644
  5. Step 5: Solve for x
    x = 1,351,444,644/23,743
  6. Step 6: Final answer
    x = 56,919.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.