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Finding the Third Proportional to 4,037.34 and 8,183.53

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Solution

The third proportional to 4,037.34 and 8,183.53 is: 16,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037.34 : 8,183.53 = 8,183.53 : x
  2. Step 2: Convert to fraction form
    4,037.34/8,183.53 = 8,183.53/x
  3. Step 3: Cross multiply
    4,037.34x = 8,183.53 × 8,183.53
  4. Step 4: Simplify right side
    4,037.34x = 66,970,183.72
  5. Step 5: Solve for x
    x = 66,970,183.72/4,037.34
  6. Step 6: Final answer
    x = 16,587.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.