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Finding the Third Proportional to 37,447.31 and 50,609.81

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Solution

The third proportional to 37,447.31 and 50,609.81 is: 68,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,447.31 : 50,609.81 = 50,609.81 : x
  2. Step 2: Convert to fraction form
    37,447.31/50,609.81 = 50,609.81/x
  3. Step 3: Cross multiply
    37,447.31x = 50,609.81 × 50,609.81
  4. Step 4: Simplify right side
    37,447.31x = 2,561,353,121.29
  5. Step 5: Solve for x
    x = 2,561,353,121.29/37,447.31
  6. Step 6: Final answer
    x = 68,398.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.