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Finding the Third Proportional to 31,918 and 48,725

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Solution

The third proportional to 31,918 and 48,725 is: 74,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,918 : 48,725 = 48,725 : x
  2. Step 2: Convert to fraction form
    31,918/48,725 = 48,725/x
  3. Step 3: Cross multiply
    31,918x = 48,725 × 48,725
  4. Step 4: Simplify right side
    31,918x = 2,374,125,625
  5. Step 5: Solve for x
    x = 2,374,125,625/31,918
  6. Step 6: Final answer
    x = 74,382.03

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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.