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Finding the Third Proportional to 33,170 and 71,684

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Solution

The third proportional to 33,170 and 71,684 is: 154,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,170 : 71,684 = 71,684 : x
  2. Step 2: Convert to fraction form
    33,170/71,684 = 71,684/x
  3. Step 3: Cross multiply
    33,170x = 71,684 × 71,684
  4. Step 4: Simplify right side
    33,170x = 5,138,595,856
  5. Step 5: Solve for x
    x = 5,138,595,856/33,170
  6. Step 6: Final answer
    x = 154,916.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.