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Finding the Third Proportional to 24,847 and 36,932

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Solution

The third proportional to 24,847 and 36,932 is: 54,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847 : 36,932 = 36,932 : x
  2. Step 2: Convert to fraction form
    24,847/36,932 = 36,932/x
  3. Step 3: Cross multiply
    24,847x = 36,932 × 36,932
  4. Step 4: Simplify right side
    24,847x = 1,363,972,624
  5. Step 5: Solve for x
    x = 1,363,972,624/24,847
  6. Step 6: Final answer
    x = 54,894.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.