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Finding the Third Proportional to 39,234 and 50,375

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Solution

The third proportional to 39,234 and 50,375 is: 64,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,234 : 50,375 = 50,375 : x
  2. Step 2: Convert to fraction form
    39,234/50,375 = 50,375/x
  3. Step 3: Cross multiply
    39,234x = 50,375 × 50,375
  4. Step 4: Simplify right side
    39,234x = 2,537,640,625
  5. Step 5: Solve for x
    x = 2,537,640,625/39,234
  6. Step 6: Final answer
    x = 64,679.63

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.