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Finding the Third Proportional to 6,886 and 14,198

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Solution

The third proportional to 6,886 and 14,198 is: 29,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886 : 14,198 = 14,198 : x
  2. Step 2: Convert to fraction form
    6,886/14,198 = 14,198/x
  3. Step 3: Cross multiply
    6,886x = 14,198 × 14,198
  4. Step 4: Simplify right side
    6,886x = 201,583,204
  5. Step 5: Solve for x
    x = 201,583,204/6,886
  6. Step 6: Final answer
    x = 29,274.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.