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Finding the Third Proportional to 4,183.52 and 9,175.78

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Solution

The third proportional to 4,183.52 and 9,175.78 is: 20,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.52 : 9,175.78 = 9,175.78 : x
  2. Step 2: Convert to fraction form
    4,183.52/9,175.78 = 9,175.78/x
  3. Step 3: Cross multiply
    4,183.52x = 9,175.78 × 9,175.78
  4. Step 4: Simplify right side
    4,183.52x = 84,194,961.55
  5. Step 5: Solve for x
    x = 84,194,961.55/4,183.52
  6. Step 6: Final answer
    x = 20,125.37

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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.