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Finding the Third Proportional to 1,216 and 2,067

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Solution

The third proportional to 1,216 and 2,067 is: 3,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216 : 2,067 = 2,067 : x
  2. Step 2: Convert to fraction form
    1,216/2,067 = 2,067/x
  3. Step 3: Cross multiply
    1,216x = 2,067 × 2,067
  4. Step 4: Simplify right side
    1,216x = 4,272,489
  5. Step 5: Solve for x
    x = 4,272,489/1,216
  6. Step 6: Final answer
    x = 3,513.56

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.