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Finding the Third Proportional to 3,197.06 and 6,838.31

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Solution

The third proportional to 3,197.06 and 6,838.31 is: 14,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.06 : 6,838.31 = 6,838.31 : x
  2. Step 2: Convert to fraction form
    3,197.06/6,838.31 = 6,838.31/x
  3. Step 3: Cross multiply
    3,197.06x = 6,838.31 × 6,838.31
  4. Step 4: Simplify right side
    3,197.06x = 46,762,517.85
  5. Step 5: Solve for x
    x = 46,762,517.85/3,197.06
  6. Step 6: Final answer
    x = 14,626.71

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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.