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Finding the Third Proportional to 27,408.38 and 41,112.56

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Solution

The third proportional to 27,408.38 and 41,112.56 is: 61,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.38 : 41,112.56 = 41,112.56 : x
  2. Step 2: Convert to fraction form
    27,408.38/41,112.56 = 41,112.56/x
  3. Step 3: Cross multiply
    27,408.38x = 41,112.56 × 41,112.56
  4. Step 4: Simplify right side
    27,408.38x = 1,690,242,795.32
  5. Step 5: Solve for x
    x = 1,690,242,795.32/27,408.38
  6. Step 6: Final answer
    x = 61,668.84

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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.