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Finding the Third Proportional to 33,990.75 and 54,722

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Solution

The third proportional to 33,990.75 and 54,722 is: 88,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,990.75 : 54,722 = 54,722 : x
  2. Step 2: Convert to fraction form
    33,990.75/54,722 = 54,722/x
  3. Step 3: Cross multiply
    33,990.75x = 54,722 × 54,722
  4. Step 4: Simplify right side
    33,990.75x = 2,994,497,284
  5. Step 5: Solve for x
    x = 2,994,497,284/33,990.75
  6. Step 6: Final answer
    x = 88,097.42

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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.