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Finding the Third Proportional to 8,082 and 12,198.75

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Solution

The third proportional to 8,082 and 12,198.75 is: 18,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082 : 12,198.75 = 12,198.75 : x
  2. Step 2: Convert to fraction form
    8,082/12,198.75 = 12,198.75/x
  3. Step 3: Cross multiply
    8,082x = 12,198.75 × 12,198.75
  4. Step 4: Simplify right side
    8,082x = 148,809,501.56
  5. Step 5: Solve for x
    x = 148,809,501.56/8,082
  6. Step 6: Final answer
    x = 18,412.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.