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Finding the Third Proportional to 3,472 and 8,197

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Solution

The third proportional to 3,472 and 8,197 is: 19,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472 : 8,197 = 8,197 : x
  2. Step 2: Convert to fraction form
    3,472/8,197 = 8,197/x
  3. Step 3: Cross multiply
    3,472x = 8,197 × 8,197
  4. Step 4: Simplify right side
    3,472x = 67,190,809
  5. Step 5: Solve for x
    x = 67,190,809/3,472
  6. Step 6: Final answer
    x = 19,352.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.