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Finding the Third Proportional to 32,578.50 and 71,154.75

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Solution

The third proportional to 32,578.50 and 71,154.75 is: 155,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.50 : 71,154.75 = 71,154.75 : x
  2. Step 2: Convert to fraction form
    32,578.50/71,154.75 = 71,154.75/x
  3. Step 3: Cross multiply
    32,578.50x = 71,154.75 × 71,154.75
  4. Step 4: Simplify right side
    32,578.50x = 5,062,998,447.56
  5. Step 5: Solve for x
    x = 5,062,998,447.56/32,578.50
  6. Step 6: Final answer
    x = 155,409.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.