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Finding the Third Proportional to 1,997 and 4,074

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Solution

The third proportional to 1,997 and 4,074 is: 8,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997 : 4,074 = 4,074 : x
  2. Step 2: Convert to fraction form
    1,997/4,074 = 4,074/x
  3. Step 3: Cross multiply
    1,997x = 4,074 × 4,074
  4. Step 4: Simplify right side
    1,997x = 16,597,476
  5. Step 5: Solve for x
    x = 16,597,476/1,997
  6. Step 6: Final answer
    x = 8,311.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.