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Finding the Third Proportional to 2,790.75 and 6,067

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Solution

The third proportional to 2,790.75 and 6,067 is: 13,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.75 : 6,067 = 6,067 : x
  2. Step 2: Convert to fraction form
    2,790.75/6,067 = 6,067/x
  3. Step 3: Cross multiply
    2,790.75x = 6,067 × 6,067
  4. Step 4: Simplify right side
    2,790.75x = 36,808,489
  5. Step 5: Solve for x
    x = 36,808,489/2,790.75
  6. Step 6: Final answer
    x = 13,189.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.