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Finding the Third Proportional to 3,943.41 and 8,002.69

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Solution

The third proportional to 3,943.41 and 8,002.69 is: 16,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.41 : 8,002.69 = 8,002.69 : x
  2. Step 2: Convert to fraction form
    3,943.41/8,002.69 = 8,002.69/x
  3. Step 3: Cross multiply
    3,943.41x = 8,002.69 × 8,002.69
  4. Step 4: Simplify right side
    3,943.41x = 64,043,007.22
  5. Step 5: Solve for x
    x = 64,043,007.22/3,943.41
  6. Step 6: Final answer
    x = 16,240.53

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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.