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Finding the Third Proportional to 33,922 and 51,671

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Solution

The third proportional to 33,922 and 51,671 is: 78,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,922 : 51,671 = 51,671 : x
  2. Step 2: Convert to fraction form
    33,922/51,671 = 51,671/x
  3. Step 3: Cross multiply
    33,922x = 51,671 × 51,671
  4. Step 4: Simplify right side
    33,922x = 2,669,892,241
  5. Step 5: Solve for x
    x = 2,669,892,241/33,922
  6. Step 6: Final answer
    x = 78,706.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.