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Finding the Third Proportional to 3,861.42 and 7,669.69

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Solution

The third proportional to 3,861.42 and 7,669.69 is: 15,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.42 : 7,669.69 = 7,669.69 : x
  2. Step 2: Convert to fraction form
    3,861.42/7,669.69 = 7,669.69/x
  3. Step 3: Cross multiply
    3,861.42x = 7,669.69 × 7,669.69
  4. Step 4: Simplify right side
    3,861.42x = 58,824,106.35
  5. Step 5: Solve for x
    x = 58,824,106.35/3,861.42
  6. Step 6: Final answer
    x = 15,233.79

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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.