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Finding the Third Proportional to 3,197 and 3,863

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Solution

The third proportional to 3,197 and 3,863 is: 4,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197 : 3,863 = 3,863 : x
  2. Step 2: Convert to fraction form
    3,197/3,863 = 3,863/x
  3. Step 3: Cross multiply
    3,197x = 3,863 × 3,863
  4. Step 4: Simplify right side
    3,197x = 14,922,769
  5. Step 5: Solve for x
    x = 14,922,769/3,197
  6. Step 6: Final answer
    x = 4,667.74

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.