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Finding the Third Proportional to 6,198 and 7,286

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Solution

The third proportional to 6,198 and 7,286 is: 8,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198 : 7,286 = 7,286 : x
  2. Step 2: Convert to fraction form
    6,198/7,286 = 7,286/x
  3. Step 3: Cross multiply
    6,198x = 7,286 × 7,286
  4. Step 4: Simplify right side
    6,198x = 53,085,796
  5. Step 5: Solve for x
    x = 53,085,796/6,198
  6. Step 6: Final answer
    x = 8,564.99

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.