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Finding the Third Proportional to 10,231.31 and 24,183.56

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Solution

The third proportional to 10,231.31 and 24,183.56 is: 57,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.31 : 24,183.56 = 24,183.56 : x
  2. Step 2: Convert to fraction form
    10,231.31/24,183.56 = 24,183.56/x
  3. Step 3: Cross multiply
    10,231.31x = 24,183.56 × 24,183.56
  4. Step 4: Simplify right side
    10,231.31x = 584,844,695.19
  5. Step 5: Solve for x
    x = 584,844,695.19/10,231.31
  6. Step 6: Final answer
    x = 57,162.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.