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Finding the Third Proportional to 33,231.75 and 44,771.63

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Solution

The third proportional to 33,231.75 and 44,771.63 is: 60,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.75 : 44,771.63 = 44,771.63 : x
  2. Step 2: Convert to fraction form
    33,231.75/44,771.63 = 44,771.63/x
  3. Step 3: Cross multiply
    33,231.75x = 44,771.63 × 44,771.63
  4. Step 4: Simplify right side
    33,231.75x = 2,004,498,405.14
  5. Step 5: Solve for x
    x = 2,004,498,405.14/33,231.75
  6. Step 6: Final answer
    x = 60,318.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.