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Finding the Third Proportional to 3,234.94 and 6,910.31

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Solution

The third proportional to 3,234.94 and 6,910.31 is: 14,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.94 : 6,910.31 = 6,910.31 : x
  2. Step 2: Convert to fraction form
    3,234.94/6,910.31 = 6,910.31/x
  3. Step 3: Cross multiply
    3,234.94x = 6,910.31 × 6,910.31
  4. Step 4: Simplify right side
    3,234.94x = 47,752,418.85
  5. Step 5: Solve for x
    x = 47,752,418.85/3,234.94
  6. Step 6: Final answer
    x = 14,761.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.