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Finding the Third Proportional to 6,997 and 14,317

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Solution

The third proportional to 6,997 and 14,317 is: 29,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997 : 14,317 = 14,317 : x
  2. Step 2: Convert to fraction form
    6,997/14,317 = 14,317/x
  3. Step 3: Cross multiply
    6,997x = 14,317 × 14,317
  4. Step 4: Simplify right side
    6,997x = 204,976,489
  5. Step 5: Solve for x
    x = 204,976,489/6,997
  6. Step 6: Final answer
    x = 29,294.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.