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Finding the Third Proportional to 37,648.38 and 50,191.13

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Solution

The third proportional to 37,648.38 and 50,191.13 is: 66,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.38 : 50,191.13 = 50,191.13 : x
  2. Step 2: Convert to fraction form
    37,648.38/50,191.13 = 50,191.13/x
  3. Step 3: Cross multiply
    37,648.38x = 50,191.13 × 50,191.13
  4. Step 4: Simplify right side
    37,648.38x = 2,519,149,028.77
  5. Step 5: Solve for x
    x = 2,519,149,028.77/37,648.38
  6. Step 6: Final answer
    x = 66,912.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.