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Finding the Third Proportional to 8,161 and 12,208

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Solution

The third proportional to 8,161 and 12,208 is: 18,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161 : 12,208 = 12,208 : x
  2. Step 2: Convert to fraction form
    8,161/12,208 = 12,208/x
  3. Step 3: Cross multiply
    8,161x = 12,208 × 12,208
  4. Step 4: Simplify right side
    8,161x = 149,035,264
  5. Step 5: Solve for x
    x = 149,035,264/8,161
  6. Step 6: Final answer
    x = 18,261.89

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