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Finding the Third Proportional to 27,498 and 41,175

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Solution

The third proportional to 27,498 and 41,175 is: 61,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,498 : 41,175 = 41,175 : x
  2. Step 2: Convert to fraction form
    27,498/41,175 = 41,175/x
  3. Step 3: Cross multiply
    27,498x = 41,175 × 41,175
  4. Step 4: Simplify right side
    27,498x = 1,695,380,625
  5. Step 5: Solve for x
    x = 1,695,380,625/27,498
  6. Step 6: Final answer
    x = 61,654.69

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