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Finding the Third Proportional to 27,932 and 39,812

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Solution

The third proportional to 27,932 and 39,812 is: 56,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,932 : 39,812 = 39,812 : x
  2. Step 2: Convert to fraction form
    27,932/39,812 = 39,812/x
  3. Step 3: Cross multiply
    27,932x = 39,812 × 39,812
  4. Step 4: Simplify right side
    27,932x = 1,584,995,344
  5. Step 5: Solve for x
    x = 1,584,995,344/27,932
  6. Step 6: Final answer
    x = 56,744.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.