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Finding the Third Proportional to 11,319.96 and 24,826.92

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Solution

The third proportional to 11,319.96 and 24,826.92 is: 54,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319.96 : 24,826.92 = 24,826.92 : x
  2. Step 2: Convert to fraction form
    11,319.96/24,826.92 = 24,826.92/x
  3. Step 3: Cross multiply
    11,319.96x = 24,826.92 × 24,826.92
  4. Step 4: Simplify right side
    11,319.96x = 616,376,049.79
  5. Step 5: Solve for x
    x = 616,376,049.79/11,319.96
  6. Step 6: Final answer
    x = 54,450.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.