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Finding the Third Proportional to 24,198.75 and 27,330.75

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Solution

The third proportional to 24,198.75 and 27,330.75 is: 30,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.75 : 27,330.75 = 27,330.75 : x
  2. Step 2: Convert to fraction form
    24,198.75/27,330.75 = 27,330.75/x
  3. Step 3: Cross multiply
    24,198.75x = 27,330.75 × 27,330.75
  4. Step 4: Simplify right side
    24,198.75x = 746,969,895.56
  5. Step 5: Solve for x
    x = 746,969,895.56/24,198.75
  6. Step 6: Final answer
    x = 30,868.12

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.