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Finding the Third Proportional to 33,991.25 and 54,722.75

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Solution

The third proportional to 33,991.25 and 54,722.75 is: 88,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991.25 : 54,722.75 = 54,722.75 : x
  2. Step 2: Convert to fraction form
    33,991.25/54,722.75 = 54,722.75/x
  3. Step 3: Cross multiply
    33,991.25x = 54,722.75 × 54,722.75
  4. Step 4: Simplify right side
    33,991.25x = 2,994,579,367.56
  5. Step 5: Solve for x
    x = 2,994,579,367.56/33,991.25
  6. Step 6: Final answer
    x = 88,098.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.