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Finding the Third Proportional to 22,297 and 33,375

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Solution

The third proportional to 22,297 and 33,375 is: 49,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297 : 33,375 = 33,375 : x
  2. Step 2: Convert to fraction form
    22,297/33,375 = 33,375/x
  3. Step 3: Cross multiply
    22,297x = 33,375 × 33,375
  4. Step 4: Simplify right side
    22,297x = 1,113,890,625
  5. Step 5: Solve for x
    x = 1,113,890,625/22,297
  6. Step 6: Final answer
    x = 49,956.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.