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Finding the Third Proportional to 2,067.19 and 3,266.16

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Solution

The third proportional to 2,067.19 and 3,266.16 is: 5,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.19 : 3,266.16 = 3,266.16 : x
  2. Step 2: Convert to fraction form
    2,067.19/3,266.16 = 3,266.16/x
  3. Step 3: Cross multiply
    2,067.19x = 3,266.16 × 3,266.16
  4. Step 4: Simplify right side
    2,067.19x = 10,667,776.65
  5. Step 5: Solve for x
    x = 10,667,776.65/2,067.19
  6. Step 6: Final answer
    x = 5,160.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.