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Finding the Third Proportional to 10,880 and 12,016

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Solution

The third proportional to 10,880 and 12,016 is: 13,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880 : 12,016 = 12,016 : x
  2. Step 2: Convert to fraction form
    10,880/12,016 = 12,016/x
  3. Step 3: Cross multiply
    10,880x = 12,016 × 12,016
  4. Step 4: Simplify right side
    10,880x = 144,384,256
  5. Step 5: Solve for x
    x = 144,384,256/10,880
  6. Step 6: Final answer
    x = 13,270.61

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.