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Finding the Third Proportional to 6,808 and 10,568

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Solution

The third proportional to 6,808 and 10,568 is: 16,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808 : 10,568 = 10,568 : x
  2. Step 2: Convert to fraction form
    6,808/10,568 = 10,568/x
  3. Step 3: Cross multiply
    6,808x = 10,568 × 10,568
  4. Step 4: Simplify right side
    6,808x = 111,682,624
  5. Step 5: Solve for x
    x = 111,682,624/6,808
  6. Step 6: Final answer
    x = 16,404.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.