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Finding the Third Proportional to 3,427 and 6,997

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Solution

The third proportional to 3,427 and 6,997 is: 14,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427 : 6,997 = 6,997 : x
  2. Step 2: Convert to fraction form
    3,427/6,997 = 6,997/x
  3. Step 3: Cross multiply
    3,427x = 6,997 × 6,997
  4. Step 4: Simplify right side
    3,427x = 48,958,009
  5. Step 5: Solve for x
    x = 48,958,009/3,427
  6. Step 6: Final answer
    x = 14,285.97

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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.