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Finding the Third Proportional to 33,905.25 and 38,832.75

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Solution

The third proportional to 33,905.25 and 38,832.75 is: 44,476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,905.25 : 38,832.75 = 38,832.75 : x
  2. Step 2: Convert to fraction form
    33,905.25/38,832.75 = 38,832.75/x
  3. Step 3: Cross multiply
    33,905.25x = 38,832.75 × 38,832.75
  4. Step 4: Simplify right side
    33,905.25x = 1,507,982,472.56
  5. Step 5: Solve for x
    x = 1,507,982,472.56/33,905.25
  6. Step 6: Final answer
    x = 44,476.37

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.