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Finding the Third Proportional to 43,582.50 and 67,020.75

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Solution

The third proportional to 43,582.50 and 67,020.75 is: 103,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,582.50 : 67,020.75 = 67,020.75 : x
  2. Step 2: Convert to fraction form
    43,582.50/67,020.75 = 67,020.75/x
  3. Step 3: Cross multiply
    43,582.50x = 67,020.75 × 67,020.75
  4. Step 4: Simplify right side
    43,582.50x = 4,491,780,930.56
  5. Step 5: Solve for x
    x = 4,491,780,930.56/43,582.50
  6. Step 6: Final answer
    x = 103,063.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.