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Finding the Third Proportional to 33,713 and 68,383

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Solution

The third proportional to 33,713 and 68,383 is: 138,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,713 : 68,383 = 68,383 : x
  2. Step 2: Convert to fraction form
    33,713/68,383 = 68,383/x
  3. Step 3: Cross multiply
    33,713x = 68,383 × 68,383
  4. Step 4: Simplify right side
    33,713x = 4,676,234,689
  5. Step 5: Solve for x
    x = 4,676,234,689/33,713
  6. Step 6: Final answer
    x = 138,707.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.