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Finding the Third Proportional to 47,874 and 72,675

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Solution

The third proportional to 47,874 and 72,675 is: 110,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874 : 72,675 = 72,675 : x
  2. Step 2: Convert to fraction form
    47,874/72,675 = 72,675/x
  3. Step 3: Cross multiply
    47,874x = 72,675 × 72,675
  4. Step 4: Simplify right side
    47,874x = 5,281,655,625
  5. Step 5: Solve for x
    x = 5,281,655,625/47,874
  6. Step 6: Final answer
    x = 110,324.09

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Why These Related Problems?

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