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Finding the Third Proportional to 8,244 and 12,183.75

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Solution

The third proportional to 8,244 and 12,183.75 is: 18,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244 : 12,183.75 = 12,183.75 : x
  2. Step 2: Convert to fraction form
    8,244/12,183.75 = 12,183.75/x
  3. Step 3: Cross multiply
    8,244x = 12,183.75 × 12,183.75
  4. Step 4: Simplify right side
    8,244x = 148,443,764.06
  5. Step 5: Solve for x
    x = 148,443,764.06/8,244
  6. Step 6: Final answer
    x = 18,006.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.