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Finding the Third Proportional to 8,231 and 12,055

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Solution

The third proportional to 8,231 and 12,055 is: 17,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231 : 12,055 = 12,055 : x
  2. Step 2: Convert to fraction form
    8,231/12,055 = 12,055/x
  3. Step 3: Cross multiply
    8,231x = 12,055 × 12,055
  4. Step 4: Simplify right side
    8,231x = 145,323,025
  5. Step 5: Solve for x
    x = 145,323,025/8,231
  6. Step 6: Final answer
    x = 17,655.57

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.