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Finding the Third Proportional to 8,183.50 and 12,802

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Solution

The third proportional to 8,183.50 and 12,802 is: 20,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.50 : 12,802 = 12,802 : x
  2. Step 2: Convert to fraction form
    8,183.50/12,802 = 12,802/x
  3. Step 3: Cross multiply
    8,183.50x = 12,802 × 12,802
  4. Step 4: Simplify right side
    8,183.50x = 163,891,204
  5. Step 5: Solve for x
    x = 163,891,204/8,183.50
  6. Step 6: Final answer
    x = 20,027.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.