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Finding the Third Proportional to 33,180 and 50,297

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Solution

The third proportional to 33,180 and 50,297 is: 76,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180 : 50,297 = 50,297 : x
  2. Step 2: Convert to fraction form
    33,180/50,297 = 50,297/x
  3. Step 3: Cross multiply
    33,180x = 50,297 × 50,297
  4. Step 4: Simplify right side
    33,180x = 2,529,788,209
  5. Step 5: Solve for x
    x = 2,529,788,209/33,180
  6. Step 6: Final answer
    x = 76,244.37

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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.