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Finding the Third Proportional to 6,997 and 7,591

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Solution

The third proportional to 6,997 and 7,591 is: 8,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997 : 7,591 = 7,591 : x
  2. Step 2: Convert to fraction form
    6,997/7,591 = 7,591/x
  3. Step 3: Cross multiply
    6,997x = 7,591 × 7,591
  4. Step 4: Simplify right side
    6,997x = 57,623,281
  5. Step 5: Solve for x
    x = 57,623,281/6,997
  6. Step 6: Final answer
    x = 8,235.43

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.