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Finding the Third Proportional to 2,378.25 and 5,067

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Solution

The third proportional to 2,378.25 and 5,067 is: 10,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.25 : 5,067 = 5,067 : x
  2. Step 2: Convert to fraction form
    2,378.25/5,067 = 5,067/x
  3. Step 3: Cross multiply
    2,378.25x = 5,067 × 5,067
  4. Step 4: Simplify right side
    2,378.25x = 25,674,489
  5. Step 5: Solve for x
    x = 25,674,489/2,378.25
  6. Step 6: Final answer
    x = 10,795.54

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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.