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Finding the Third Proportional to 27,509 and 41,325

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Solution

The third proportional to 27,509 and 41,325 is: 62,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509 : 41,325 = 41,325 : x
  2. Step 2: Convert to fraction form
    27,509/41,325 = 41,325/x
  3. Step 3: Cross multiply
    27,509x = 41,325 × 41,325
  4. Step 4: Simplify right side
    27,509x = 1,707,755,625
  5. Step 5: Solve for x
    x = 1,707,755,625/27,509
  6. Step 6: Final answer
    x = 62,079.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.