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Finding the Third Proportional to 33,098 and 70,934

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Solution

The third proportional to 33,098 and 70,934 is: 152,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098 : 70,934 = 70,934 : x
  2. Step 2: Convert to fraction form
    33,098/70,934 = 70,934/x
  3. Step 3: Cross multiply
    33,098x = 70,934 × 70,934
  4. Step 4: Simplify right side
    33,098x = 5,031,632,356
  5. Step 5: Solve for x
    x = 5,031,632,356/33,098
  6. Step 6: Final answer
    x = 152,022.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.