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Finding the Third Proportional to 2,022 and 3,427

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Solution

The third proportional to 2,022 and 3,427 is: 5,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 3,427 = 3,427 : x
  2. Step 2: Convert to fraction form
    2,022/3,427 = 3,427/x
  3. Step 3: Cross multiply
    2,022x = 3,427 × 3,427
  4. Step 4: Simplify right side
    2,022x = 11,744,329
  5. Step 5: Solve for x
    x = 11,744,329/2,022
  6. Step 6: Final answer
    x = 5,808.27

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.