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Finding the Third Proportional to 13,814 and 21,949

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Solution

The third proportional to 13,814 and 21,949 is: 34,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814 : 21,949 = 21,949 : x
  2. Step 2: Convert to fraction form
    13,814/21,949 = 21,949/x
  3. Step 3: Cross multiply
    13,814x = 21,949 × 21,949
  4. Step 4: Simplify right side
    13,814x = 481,758,601
  5. Step 5: Solve for x
    x = 481,758,601/13,814
  6. Step 6: Final answer
    x = 34,874.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.