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Finding the Third Proportional to 3,197 and 6,655

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Solution

The third proportional to 3,197 and 6,655 is: 13,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197 : 6,655 = 6,655 : x
  2. Step 2: Convert to fraction form
    3,197/6,655 = 6,655/x
  3. Step 3: Cross multiply
    3,197x = 6,655 × 6,655
  4. Step 4: Simplify right side
    3,197x = 44,289,025
  5. Step 5: Solve for x
    x = 44,289,025/3,197
  6. Step 6: Final answer
    x = 13,853.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.