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Finding the Third Proportional to 33,708 and 73,644

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Solution

The third proportional to 33,708 and 73,644 is: 160,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,708 : 73,644 = 73,644 : x
  2. Step 2: Convert to fraction form
    33,708/73,644 = 73,644/x
  3. Step 3: Cross multiply
    33,708x = 73,644 × 73,644
  4. Step 4: Simplify right side
    33,708x = 5,423,438,736
  5. Step 5: Solve for x
    x = 5,423,438,736/33,708
  6. Step 6: Final answer
    x = 160,894.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.