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Finding the Third Proportional to 57,384.50 and 80,667

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Solution

The third proportional to 57,384.50 and 80,667 is: 113,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384.50 : 80,667 = 80,667 : x
  2. Step 2: Convert to fraction form
    57,384.50/80,667 = 80,667/x
  3. Step 3: Cross multiply
    57,384.50x = 80,667 × 80,667
  4. Step 4: Simplify right side
    57,384.50x = 6,507,164,889
  5. Step 5: Solve for x
    x = 6,507,164,889/57,384.50
  6. Step 6: Final answer
    x = 113,395.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.