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Finding the Third Proportional to 33,917 and 70,930

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Solution

The third proportional to 33,917 and 70,930 is: 148,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,917 : 70,930 = 70,930 : x
  2. Step 2: Convert to fraction form
    33,917/70,930 = 70,930/x
  3. Step 3: Cross multiply
    33,917x = 70,930 × 70,930
  4. Step 4: Simplify right side
    33,917x = 5,031,064,900
  5. Step 5: Solve for x
    x = 5,031,064,900/33,917
  6. Step 6: Final answer
    x = 148,334.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.