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Finding the Third Proportional to 27,394 and 41,122

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Solution

The third proportional to 27,394 and 41,122 is: 61,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,394 : 41,122 = 41,122 : x
  2. Step 2: Convert to fraction form
    27,394/41,122 = 41,122/x
  3. Step 3: Cross multiply
    27,394x = 41,122 × 41,122
  4. Step 4: Simplify right side
    27,394x = 1,691,018,884
  5. Step 5: Solve for x
    x = 1,691,018,884/27,394
  6. Step 6: Final answer
    x = 61,729.54

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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.