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Finding the Third Proportional to 4,105.69 and 8,277.19

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Solution

The third proportional to 4,105.69 and 8,277.19 is: 16,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.69 : 8,277.19 = 8,277.19 : x
  2. Step 2: Convert to fraction form
    4,105.69/8,277.19 = 8,277.19/x
  3. Step 3: Cross multiply
    4,105.69x = 8,277.19 × 8,277.19
  4. Step 4: Simplify right side
    4,105.69x = 68,511,832.91
  5. Step 5: Solve for x
    x = 68,511,832.91/4,105.69
  6. Step 6: Final answer
    x = 16,687.05

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.