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Finding the Third Proportional to 2,022 and 4,197

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Solution

The third proportional to 2,022 and 4,197 is: 8,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 4,197 = 4,197 : x
  2. Step 2: Convert to fraction form
    2,022/4,197 = 4,197/x
  3. Step 3: Cross multiply
    2,022x = 4,197 × 4,197
  4. Step 4: Simplify right side
    2,022x = 17,614,809
  5. Step 5: Solve for x
    x = 17,614,809/2,022
  6. Step 6: Final answer
    x = 8,711.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.