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Finding the Third Proportional to 6,338 and 13,081

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Solution

The third proportional to 6,338 and 13,081 is: 26,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338 : 13,081 = 13,081 : x
  2. Step 2: Convert to fraction form
    6,338/13,081 = 13,081/x
  3. Step 3: Cross multiply
    6,338x = 13,081 × 13,081
  4. Step 4: Simplify right side
    6,338x = 171,112,561
  5. Step 5: Solve for x
    x = 171,112,561/6,338
  6. Step 6: Final answer
    x = 26,997.88

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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.