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Finding the Third Proportional to 33,921 and 74,268

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Solution

The third proportional to 33,921 and 74,268 is: 162,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,921 : 74,268 = 74,268 : x
  2. Step 2: Convert to fraction form
    33,921/74,268 = 74,268/x
  3. Step 3: Cross multiply
    33,921x = 74,268 × 74,268
  4. Step 4: Simplify right side
    33,921x = 5,515,735,824
  5. Step 5: Solve for x
    x = 5,515,735,824/33,921
  6. Step 6: Final answer
    x = 162,605.34

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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.