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Finding the Third Proportional to 24,400.50 and 33,144.75

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Solution

The third proportional to 24,400.50 and 33,144.75 is: 45,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.50 : 33,144.75 = 33,144.75 : x
  2. Step 2: Convert to fraction form
    24,400.50/33,144.75 = 33,144.75/x
  3. Step 3: Cross multiply
    24,400.50x = 33,144.75 × 33,144.75
  4. Step 4: Simplify right side
    24,400.50x = 1,098,574,452.56
  5. Step 5: Solve for x
    x = 1,098,574,452.56/24,400.50
  6. Step 6: Final answer
    x = 45,022.62

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.