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Finding the Third Proportional to 33,878.50 and 50,327

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Solution

The third proportional to 33,878.50 and 50,327 is: 74,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878.50 : 50,327 = 50,327 : x
  2. Step 2: Convert to fraction form
    33,878.50/50,327 = 50,327/x
  3. Step 3: Cross multiply
    33,878.50x = 50,327 × 50,327
  4. Step 4: Simplify right side
    33,878.50x = 2,532,806,929
  5. Step 5: Solve for x
    x = 2,532,806,929/33,878.50
  6. Step 6: Final answer
    x = 74,761.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.