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Finding the Third Proportional to 2,067 and 3,633

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Solution

The third proportional to 2,067 and 3,633 is: 6,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067 : 3,633 = 3,633 : x
  2. Step 2: Convert to fraction form
    2,067/3,633 = 3,633/x
  3. Step 3: Cross multiply
    2,067x = 3,633 × 3,633
  4. Step 4: Simplify right side
    2,067x = 13,198,689
  5. Step 5: Solve for x
    x = 13,198,689/2,067
  6. Step 6: Final answer
    x = 6,385.43

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.