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Finding the Third Proportional to 1,997 and 4,348

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Solution

The third proportional to 1,997 and 4,348 is: 9,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997 : 4,348 = 4,348 : x
  2. Step 2: Convert to fraction form
    1,997/4,348 = 4,348/x
  3. Step 3: Cross multiply
    1,997x = 4,348 × 4,348
  4. Step 4: Simplify right side
    1,997x = 18,905,104
  5. Step 5: Solve for x
    x = 18,905,104/1,997
  6. Step 6: Final answer
    x = 9,466.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.