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Finding the Third Proportional to 3,861.84 and 7,131.38

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Solution

The third proportional to 3,861.84 and 7,131.38 is: 13,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.84 : 7,131.38 = 7,131.38 : x
  2. Step 2: Convert to fraction form
    3,861.84/7,131.38 = 7,131.38/x
  3. Step 3: Cross multiply
    3,861.84x = 7,131.38 × 7,131.38
  4. Step 4: Simplify right side
    3,861.84x = 50,856,509.39
  5. Step 5: Solve for x
    x = 50,856,509.39/3,861.84
  6. Step 6: Final answer
    x = 13,168.97

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.