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Finding the Third Proportional to 6,837 and 13,938

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Solution

The third proportional to 6,837 and 13,938 is: 28,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837 : 13,938 = 13,938 : x
  2. Step 2: Convert to fraction form
    6,837/13,938 = 13,938/x
  3. Step 3: Cross multiply
    6,837x = 13,938 × 13,938
  4. Step 4: Simplify right side
    6,837x = 194,267,844
  5. Step 5: Solve for x
    x = 194,267,844/6,837
  6. Step 6: Final answer
    x = 28,414.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.