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Finding the Third Proportional to 3,861.42 and 4,225.92

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Solution

The third proportional to 3,861.42 and 4,225.92 is: 4,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.42 : 4,225.92 = 4,225.92 : x
  2. Step 2: Convert to fraction form
    3,861.42/4,225.92 = 4,225.92/x
  3. Step 3: Cross multiply
    3,861.42x = 4,225.92 × 4,225.92
  4. Step 4: Simplify right side
    3,861.42x = 17,858,415.69
  5. Step 5: Solve for x
    x = 17,858,415.69/3,861.42
  6. Step 6: Final answer
    x = 4,624.83

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.