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Finding the Third Proportional to 31,757 and 48,734

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Solution

The third proportional to 31,757 and 48,734 is: 74,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757 : 48,734 = 48,734 : x
  2. Step 2: Convert to fraction form
    31,757/48,734 = 48,734/x
  3. Step 3: Cross multiply
    31,757x = 48,734 × 48,734
  4. Step 4: Simplify right side
    31,757x = 2,375,002,756
  5. Step 5: Solve for x
    x = 2,375,002,756/31,757
  6. Step 6: Final answer
    x = 74,786.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.