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Finding the Third Proportional to 3,661.77 and 7,879.78

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Solution

The third proportional to 3,661.77 and 7,879.78 is: 16,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.77 : 7,879.78 = 7,879.78 : x
  2. Step 2: Convert to fraction form
    3,661.77/7,879.78 = 7,879.78/x
  3. Step 3: Cross multiply
    3,661.77x = 7,879.78 × 7,879.78
  4. Step 4: Simplify right side
    3,661.77x = 62,090,952.55
  5. Step 5: Solve for x
    x = 62,090,952.55/3,661.77
  6. Step 6: Final answer
    x = 16,956.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.