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Finding the Third Proportional to 33,238 and 70,580

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Solution

The third proportional to 33,238 and 70,580 is: 149,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238 : 70,580 = 70,580 : x
  2. Step 2: Convert to fraction form
    33,238/70,580 = 70,580/x
  3. Step 3: Cross multiply
    33,238x = 70,580 × 70,580
  4. Step 4: Simplify right side
    33,238x = 4,981,536,400
  5. Step 5: Solve for x
    x = 4,981,536,400/33,238
  6. Step 6: Final answer
    x = 149,874.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.