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Finding the Third Proportional to 31,882 and 46,691

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Solution

The third proportional to 31,882 and 46,691 is: 68,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882 : 46,691 = 46,691 : x
  2. Step 2: Convert to fraction form
    31,882/46,691 = 46,691/x
  3. Step 3: Cross multiply
    31,882x = 46,691 × 46,691
  4. Step 4: Simplify right side
    31,882x = 2,180,049,481
  5. Step 5: Solve for x
    x = 2,180,049,481/31,882
  6. Step 6: Final answer
    x = 68,378.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.