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Finding the Third Proportional to 5,104.69 and 5,469.19

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Solution

The third proportional to 5,104.69 and 5,469.19 is: 5,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.69 : 5,469.19 = 5,469.19 : x
  2. Step 2: Convert to fraction form
    5,104.69/5,469.19 = 5,469.19/x
  3. Step 3: Cross multiply
    5,104.69x = 5,469.19 × 5,469.19
  4. Step 4: Simplify right side
    5,104.69x = 29,912,011.91
  5. Step 5: Solve for x
    x = 29,912,011.91/5,104.69
  6. Step 6: Final answer
    x = 5,859.71

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.