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Finding the Third Proportional to 33,708 and 73,299

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Solution

The third proportional to 33,708 and 73,299 is: 159,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,708 : 73,299 = 73,299 : x
  2. Step 2: Convert to fraction form
    33,708/73,299 = 73,299/x
  3. Step 3: Cross multiply
    33,708x = 73,299 × 73,299
  4. Step 4: Simplify right side
    33,708x = 5,372,743,401
  5. Step 5: Solve for x
    x = 5,372,743,401/33,708
  6. Step 6: Final answer
    x = 159,390.75

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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.