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Finding the Third Proportional to 8,197 and 12,282

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Solution

The third proportional to 8,197 and 12,282 is: 18,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197 : 12,282 = 12,282 : x
  2. Step 2: Convert to fraction form
    8,197/12,282 = 12,282/x
  3. Step 3: Cross multiply
    8,197x = 12,282 × 12,282
  4. Step 4: Simplify right side
    8,197x = 150,847,524
  5. Step 5: Solve for x
    x = 150,847,524/8,197
  6. Step 6: Final answer
    x = 18,402.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.