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Finding the Third Proportional to 33,909 and 74,244

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Solution

The third proportional to 33,909 and 74,244 is: 162,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,909 : 74,244 = 74,244 : x
  2. Step 2: Convert to fraction form
    33,909/74,244 = 74,244/x
  3. Step 3: Cross multiply
    33,909x = 74,244 × 74,244
  4. Step 4: Simplify right side
    33,909x = 5,512,171,536
  5. Step 5: Solve for x
    x = 5,512,171,536/33,909
  6. Step 6: Final answer
    x = 162,557.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.