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Finding the Third Proportional to 36,843.75 and 75,233.25

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Solution

The third proportional to 36,843.75 and 75,233.25 is: 153,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,843.75 : 75,233.25 = 75,233.25 : x
  2. Step 2: Convert to fraction form
    36,843.75/75,233.25 = 75,233.25/x
  3. Step 3: Cross multiply
    36,843.75x = 75,233.25 × 75,233.25
  4. Step 4: Simplify right side
    36,843.75x = 5,660,041,905.56
  5. Step 5: Solve for x
    x = 5,660,041,905.56/36,843.75
  6. Step 6: Final answer
    x = 153,622.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.