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Finding the Third Proportional to 31,932 and 34,812

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Solution

The third proportional to 31,932 and 34,812 is: 37,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932 : 34,812 = 34,812 : x
  2. Step 2: Convert to fraction form
    31,932/34,812 = 34,812/x
  3. Step 3: Cross multiply
    31,932x = 34,812 × 34,812
  4. Step 4: Simplify right side
    31,932x = 1,211,875,344
  5. Step 5: Solve for x
    x = 1,211,875,344/31,932
  6. Step 6: Final answer
    x = 37,951.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.