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Finding the Third Proportional to 31,951 and 48,374

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Solution

The third proportional to 31,951 and 48,374 is: 73,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951 : 48,374 = 48,374 : x
  2. Step 2: Convert to fraction form
    31,951/48,374 = 48,374/x
  3. Step 3: Cross multiply
    31,951x = 48,374 × 48,374
  4. Step 4: Simplify right side
    31,951x = 2,340,043,876
  5. Step 5: Solve for x
    x = 2,340,043,876/31,951
  6. Step 6: Final answer
    x = 73,238.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.