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Finding the Third Proportional to 27,508 and 39,965

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Solution

The third proportional to 27,508 and 39,965 is: 58,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,508 : 39,965 = 39,965 : x
  2. Step 2: Convert to fraction form
    27,508/39,965 = 39,965/x
  3. Step 3: Cross multiply
    27,508x = 39,965 × 39,965
  4. Step 4: Simplify right side
    27,508x = 1,597,201,225
  5. Step 5: Solve for x
    x = 1,597,201,225/27,508
  6. Step 6: Final answer
    x = 58,063.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.