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Finding the Third Proportional to 43,672.50 and 66,318.75

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Solution

The third proportional to 43,672.50 and 66,318.75 is: 100,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,672.50 : 66,318.75 = 66,318.75 : x
  2. Step 2: Convert to fraction form
    43,672.50/66,318.75 = 66,318.75/x
  3. Step 3: Cross multiply
    43,672.50x = 66,318.75 × 66,318.75
  4. Step 4: Simplify right side
    43,672.50x = 4,398,176,601.56
  5. Step 5: Solve for x
    x = 4,398,176,601.56/43,672.50
  6. Step 6: Final answer
    x = 100,708.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.