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Finding the Third Proportional to 31,874 and 48,310

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Solution

The third proportional to 31,874 and 48,310 is: 73,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874 : 48,310 = 48,310 : x
  2. Step 2: Convert to fraction form
    31,874/48,310 = 48,310/x
  3. Step 3: Cross multiply
    31,874x = 48,310 × 48,310
  4. Step 4: Simplify right side
    31,874x = 2,333,856,100
  5. Step 5: Solve for x
    x = 2,333,856,100/31,874
  6. Step 6: Final answer
    x = 73,221.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.