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Finding the Third Proportional to 8,191.50 and 12,327

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Solution

The third proportional to 8,191.50 and 12,327 is: 18,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.50 : 12,327 = 12,327 : x
  2. Step 2: Convert to fraction form
    8,191.50/12,327 = 12,327/x
  3. Step 3: Cross multiply
    8,191.50x = 12,327 × 12,327
  4. Step 4: Simplify right side
    8,191.50x = 151,954,929
  5. Step 5: Solve for x
    x = 151,954,929/8,191.50
  6. Step 6: Final answer
    x = 18,550.32

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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.