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Finding the Third Proportional to 12,096 and 26,568

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Solution

The third proportional to 12,096 and 26,568 is: 58,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096 : 26,568 = 26,568 : x
  2. Step 2: Convert to fraction form
    12,096/26,568 = 26,568/x
  3. Step 3: Cross multiply
    12,096x = 26,568 × 26,568
  4. Step 4: Simplify right side
    12,096x = 705,858,624
  5. Step 5: Solve for x
    x = 705,858,624/12,096
  6. Step 6: Final answer
    x = 58,354.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.