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Finding the Third Proportional to 2,855.25 and 6,910.31

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Solution

The third proportional to 2,855.25 and 6,910.31 is: 16,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.25 : 6,910.31 = 6,910.31 : x
  2. Step 2: Convert to fraction form
    2,855.25/6,910.31 = 6,910.31/x
  3. Step 3: Cross multiply
    2,855.25x = 6,910.31 × 6,910.31
  4. Step 4: Simplify right side
    2,855.25x = 47,752,418.85
  5. Step 5: Solve for x
    x = 47,752,418.85/2,855.25
  6. Step 6: Final answer
    x = 16,724.43

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.