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Finding the Third Proportional to 5,124.41 and 11,198.04

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Solution

The third proportional to 5,124.41 and 11,198.04 is: 24,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.41 : 11,198.04 = 11,198.04 : x
  2. Step 2: Convert to fraction form
    5,124.41/11,198.04 = 11,198.04/x
  3. Step 3: Cross multiply
    5,124.41x = 11,198.04 × 11,198.04
  4. Step 4: Simplify right side
    5,124.41x = 125,396,078.85
  5. Step 5: Solve for x
    x = 125,396,078.85/5,124.41
  6. Step 6: Final answer
    x = 24,470.34

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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.