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Finding the Third Proportional to 36,239.72 and 73,453.13

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Solution

The third proportional to 36,239.72 and 73,453.13 is: 148,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,239.72 : 73,453.13 = 73,453.13 : x
  2. Step 2: Convert to fraction form
    36,239.72/73,453.13 = 73,453.13/x
  3. Step 3: Cross multiply
    36,239.72x = 73,453.13 × 73,453.13
  4. Step 4: Simplify right side
    36,239.72x = 5,395,361,572.27
  5. Step 5: Solve for x
    x = 5,395,361,572.27/36,239.72
  6. Step 6: Final answer
    x = 148,879.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.