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Finding the Third Proportional to 8,940 and 19,067.25

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Solution

The third proportional to 8,940 and 19,067.25 is: 40,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940 : 19,067.25 = 19,067.25 : x
  2. Step 2: Convert to fraction form
    8,940/19,067.25 = 19,067.25/x
  3. Step 3: Cross multiply
    8,940x = 19,067.25 × 19,067.25
  4. Step 4: Simplify right side
    8,940x = 363,560,022.56
  5. Step 5: Solve for x
    x = 363,560,022.56/8,940
  6. Step 6: Final answer
    x = 40,666.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.