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Finding the Third Proportional to 11,230.31 and 24,452.72

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Solution

The third proportional to 11,230.31 and 24,452.72 is: 53,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.31 : 24,452.72 = 24,452.72 : x
  2. Step 2: Convert to fraction form
    11,230.31/24,452.72 = 24,452.72/x
  3. Step 3: Cross multiply
    11,230.31x = 24,452.72 × 24,452.72
  4. Step 4: Simplify right side
    11,230.31x = 597,935,454.27
  5. Step 5: Solve for x
    x = 597,935,454.27/11,230.31
  6. Step 6: Final answer
    x = 53,242.99

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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.