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Finding the Third Proportional to 27,134 and 41,223

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Solution

The third proportional to 27,134 and 41,223 is: 62,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134 : 41,223 = 41,223 : x
  2. Step 2: Convert to fraction form
    27,134/41,223 = 41,223/x
  3. Step 3: Cross multiply
    27,134x = 41,223 × 41,223
  4. Step 4: Simplify right side
    27,134x = 1,699,335,729
  5. Step 5: Solve for x
    x = 1,699,335,729/27,134
  6. Step 6: Final answer
    x = 62,627.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.