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Finding the Third Proportional to 14,231.25 and 24,452.75

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Solution

The third proportional to 14,231.25 and 24,452.75 is: 42,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.25 : 24,452.75 = 24,452.75 : x
  2. Step 2: Convert to fraction form
    14,231.25/24,452.75 = 24,452.75/x
  3. Step 3: Cross multiply
    14,231.25x = 24,452.75 × 24,452.75
  4. Step 4: Simplify right side
    14,231.25x = 597,936,982.56
  5. Step 5: Solve for x
    x = 597,936,982.56/14,231.25
  6. Step 6: Final answer
    x = 42,015.77

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.