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Finding the Third Proportional to 44,286.75 and 73,811.25

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Solution

The third proportional to 44,286.75 and 73,811.25 is: 123,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,286.75 : 73,811.25 = 73,811.25 : x
  2. Step 2: Convert to fraction form
    44,286.75/73,811.25 = 73,811.25/x
  3. Step 3: Cross multiply
    44,286.75x = 73,811.25 × 73,811.25
  4. Step 4: Simplify right side
    44,286.75x = 5,448,100,626.56
  5. Step 5: Solve for x
    x = 5,448,100,626.56/44,286.75
  6. Step 6: Final answer
    x = 123,018.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.