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Finding the Third Proportional to 33,174 and 70,924

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Solution

The third proportional to 33,174 and 70,924 is: 151,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,174 : 70,924 = 70,924 : x
  2. Step 2: Convert to fraction form
    33,174/70,924 = 70,924/x
  3. Step 3: Cross multiply
    33,174x = 70,924 × 70,924
  4. Step 4: Simplify right side
    33,174x = 5,030,213,776
  5. Step 5: Solve for x
    x = 5,030,213,776/33,174
  6. Step 6: Final answer
    x = 151,631.21

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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.