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Finding the Third Proportional to 11,456.12 and 24,065.54

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Solution

The third proportional to 11,456.12 and 24,065.54 is: 50,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.12 : 24,065.54 = 24,065.54 : x
  2. Step 2: Convert to fraction form
    11,456.12/24,065.54 = 24,065.54/x
  3. Step 3: Cross multiply
    11,456.12x = 24,065.54 × 24,065.54
  4. Step 4: Simplify right side
    11,456.12x = 579,150,358.38
  5. Step 5: Solve for x
    x = 579,150,358.38/11,456.12
  6. Step 6: Final answer
    x = 50,553.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.