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Finding the Third Proportional to 27,832 and 36,764

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Solution

The third proportional to 27,832 and 36,764 is: 48,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832 : 36,764 = 36,764 : x
  2. Step 2: Convert to fraction form
    27,832/36,764 = 36,764/x
  3. Step 3: Cross multiply
    27,832x = 36,764 × 36,764
  4. Step 4: Simplify right side
    27,832x = 1,351,591,696
  5. Step 5: Solve for x
    x = 1,351,591,696/27,832
  6. Step 6: Final answer
    x = 48,562.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.