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Finding the Third Proportional to 3,369.09 and 6,872.34

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Solution

The third proportional to 3,369.09 and 6,872.34 is: 14,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.09 : 6,872.34 = 6,872.34 : x
  2. Step 2: Convert to fraction form
    3,369.09/6,872.34 = 6,872.34/x
  3. Step 3: Cross multiply
    3,369.09x = 6,872.34 × 6,872.34
  4. Step 4: Simplify right side
    3,369.09x = 47,229,108.62
  5. Step 5: Solve for x
    x = 47,229,108.62/3,369.09
  6. Step 6: Final answer
    x = 14,018.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.