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Finding the Third Proportional to 21,934 and 47,375

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Solution

The third proportional to 21,934 and 47,375 is: 102,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934 : 47,375 = 47,375 : x
  2. Step 2: Convert to fraction form
    21,934/47,375 = 47,375/x
  3. Step 3: Cross multiply
    21,934x = 47,375 × 47,375
  4. Step 4: Simplify right side
    21,934x = 2,244,390,625
  5. Step 5: Solve for x
    x = 2,244,390,625/21,934
  6. Step 6: Final answer
    x = 102,324.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.