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Finding the Third Proportional to 6,592 and 7,198

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Solution

The third proportional to 6,592 and 7,198 is: 7,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592 : 7,198 = 7,198 : x
  2. Step 2: Convert to fraction form
    6,592/7,198 = 7,198/x
  3. Step 3: Cross multiply
    6,592x = 7,198 × 7,198
  4. Step 4: Simplify right side
    6,592x = 51,811,204
  5. Step 5: Solve for x
    x = 51,811,204/6,592
  6. Step 6: Final answer
    x = 7,859.71

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.