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Finding the Third Proportional to 6,508 and 10,198

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Solution

The third proportional to 6,508 and 10,198 is: 15,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508 : 10,198 = 10,198 : x
  2. Step 2: Convert to fraction form
    6,508/10,198 = 10,198/x
  3. Step 3: Cross multiply
    6,508x = 10,198 × 10,198
  4. Step 4: Simplify right side
    6,508x = 103,999,204
  5. Step 5: Solve for x
    x = 103,999,204/6,508
  6. Step 6: Final answer
    x = 15,980.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.