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Finding the Third Proportional to 997 and 2,188

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Solution

The third proportional to 997 and 2,188 is: 4,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    997 : 2,188 = 2,188 : x
  2. Step 2: Convert to fraction form
    997/2,188 = 2,188/x
  3. Step 3: Cross multiply
    997x = 2,188 × 2,188
  4. Step 4: Simplify right side
    997x = 4,787,344
  5. Step 5: Solve for x
    x = 4,787,344/997
  6. Step 6: Final answer
    x = 4,801.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.