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Finding the Third Proportional to 4,105.69 and 5,037.19

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Solution

The third proportional to 4,105.69 and 5,037.19 is: 6,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.69 : 5,037.19 = 5,037.19 : x
  2. Step 2: Convert to fraction form
    4,105.69/5,037.19 = 5,037.19/x
  3. Step 3: Cross multiply
    4,105.69x = 5,037.19 × 5,037.19
  4. Step 4: Simplify right side
    4,105.69x = 25,373,257.91
  5. Step 5: Solve for x
    x = 25,373,257.91/4,105.69
  6. Step 6: Final answer
    x = 6,180.03

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.