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Finding the Third Proportional to 33,999 and 47,794

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Solution

The third proportional to 33,999 and 47,794 is: 67,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999 : 47,794 = 47,794 : x
  2. Step 2: Convert to fraction form
    33,999/47,794 = 47,794/x
  3. Step 3: Cross multiply
    33,999x = 47,794 × 47,794
  4. Step 4: Simplify right side
    33,999x = 2,284,266,436
  5. Step 5: Solve for x
    x = 2,284,266,436/33,999
  6. Step 6: Final answer
    x = 67,186.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.