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Finding the Third Proportional to 3,196.97 and 6,906.09

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Solution

The third proportional to 3,196.97 and 6,906.09 is: 14,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.97 : 6,906.09 = 6,906.09 : x
  2. Step 2: Convert to fraction form
    3,196.97/6,906.09 = 6,906.09/x
  3. Step 3: Cross multiply
    3,196.97x = 6,906.09 × 6,906.09
  4. Step 4: Simplify right side
    3,196.97x = 47,694,130.88
  5. Step 5: Solve for x
    x = 47,694,130.88/3,196.97
  6. Step 6: Final answer
    x = 14,918.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.