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Finding the Third Proportional to 33,614 and 67,228

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Solution

The third proportional to 33,614 and 67,228 is: 134,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,614 : 67,228 = 67,228 : x
  2. Step 2: Convert to fraction form
    33,614/67,228 = 67,228/x
  3. Step 3: Cross multiply
    33,614x = 67,228 × 67,228
  4. Step 4: Simplify right side
    33,614x = 4,519,603,984
  5. Step 5: Solve for x
    x = 4,519,603,984/33,614
  6. Step 6: Final answer
    x = 134,456

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.