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Finding the Third Proportional to 2,677.43 and 6,169.92

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Solution

The third proportional to 2,677.43 and 6,169.92 is: 14,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.43 : 6,169.92 = 6,169.92 : x
  2. Step 2: Convert to fraction form
    2,677.43/6,169.92 = 6,169.92/x
  3. Step 3: Cross multiply
    2,677.43x = 6,169.92 × 6,169.92
  4. Step 4: Simplify right side
    2,677.43x = 38,067,935.94
  5. Step 5: Solve for x
    x = 38,067,935.94/2,677.43
  6. Step 6: Final answer
    x = 14,218.09

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.