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Finding the Third Proportional to 37,667.25 and 55,086.75

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Solution

The third proportional to 37,667.25 and 55,086.75 is: 80,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,667.25 : 55,086.75 = 55,086.75 : x
  2. Step 2: Convert to fraction form
    37,667.25/55,086.75 = 55,086.75/x
  3. Step 3: Cross multiply
    37,667.25x = 55,086.75 × 55,086.75
  4. Step 4: Simplify right side
    37,667.25x = 3,034,550,025.56
  5. Step 5: Solve for x
    x = 3,034,550,025.56/37,667.25
  6. Step 6: Final answer
    x = 80,562.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.