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Finding the Third Proportional to 33,717 and 70,026

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Solution

The third proportional to 33,717 and 70,026 is: 145,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,717 : 70,026 = 70,026 : x
  2. Step 2: Convert to fraction form
    33,717/70,026 = 70,026/x
  3. Step 3: Cross multiply
    33,717x = 70,026 × 70,026
  4. Step 4: Simplify right side
    33,717x = 4,903,640,676
  5. Step 5: Solve for x
    x = 4,903,640,676/33,717
  6. Step 6: Final answer
    x = 145,435.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.