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Finding the Third Proportional to 6,338 and 13,781

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Solution

The third proportional to 6,338 and 13,781 is: 29,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338 : 13,781 = 13,781 : x
  2. Step 2: Convert to fraction form
    6,338/13,781 = 13,781/x
  3. Step 3: Cross multiply
    6,338x = 13,781 × 13,781
  4. Step 4: Simplify right side
    6,338x = 189,915,961
  5. Step 5: Solve for x
    x = 189,915,961/6,338
  6. Step 6: Final answer
    x = 29,964.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.