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Finding the Third Proportional to 27,396 and 41,125

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Solution

The third proportional to 27,396 and 41,125 is: 61,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396 : 41,125 = 41,125 : x
  2. Step 2: Convert to fraction form
    27,396/41,125 = 41,125/x
  3. Step 3: Cross multiply
    27,396x = 41,125 × 41,125
  4. Step 4: Simplify right side
    27,396x = 1,691,265,625
  5. Step 5: Solve for x
    x = 1,691,265,625/27,396
  6. Step 6: Final answer
    x = 61,734.04

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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.