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Finding the Third Proportional to 33,954 and 70,302

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Solution

The third proportional to 33,954 and 70,302 is: 145,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,954 : 70,302 = 70,302 : x
  2. Step 2: Convert to fraction form
    33,954/70,302 = 70,302/x
  3. Step 3: Cross multiply
    33,954x = 70,302 × 70,302
  4. Step 4: Simplify right side
    33,954x = 4,942,371,204
  5. Step 5: Solve for x
    x = 4,942,371,204/33,954
  6. Step 6: Final answer
    x = 145,560.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.