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Finding the Third Proportional to 39,625 and 65,269

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Solution

The third proportional to 39,625 and 65,269 is: 107,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,625 : 65,269 = 65,269 : x
  2. Step 2: Convert to fraction form
    39,625/65,269 = 65,269/x
  3. Step 3: Cross multiply
    39,625x = 65,269 × 65,269
  4. Step 4: Simplify right side
    39,625x = 4,260,042,361
  5. Step 5: Solve for x
    x = 4,260,042,361/39,625
  6. Step 6: Final answer
    x = 107,508.96

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.