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Finding the Third Proportional to 6,162 and 8,679

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Solution

The third proportional to 6,162 and 8,679 is: 12,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162 : 8,679 = 8,679 : x
  2. Step 2: Convert to fraction form
    6,162/8,679 = 8,679/x
  3. Step 3: Cross multiply
    6,162x = 8,679 × 8,679
  4. Step 4: Simplify right side
    6,162x = 75,325,041
  5. Step 5: Solve for x
    x = 75,325,041/6,162
  6. Step 6: Final answer
    x = 12,224.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.