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Finding the Third Proportional to 11,496 and 13,198

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Solution

The third proportional to 11,496 and 13,198 is: 15,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496 : 13,198 = 13,198 : x
  2. Step 2: Convert to fraction form
    11,496/13,198 = 13,198/x
  3. Step 3: Cross multiply
    11,496x = 13,198 × 13,198
  4. Step 4: Simplify right side
    11,496x = 174,187,204
  5. Step 5: Solve for x
    x = 174,187,204/11,496
  6. Step 6: Final answer
    x = 15,151.98

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.