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Finding the Third Proportional to 36,229.36 and 77,814.42

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Solution

The third proportional to 36,229.36 and 77,814.42 is: 167,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,229.36 : 77,814.42 = 77,814.42 : x
  2. Step 2: Convert to fraction form
    36,229.36/77,814.42 = 77,814.42/x
  3. Step 3: Cross multiply
    36,229.36x = 77,814.42 × 77,814.42
  4. Step 4: Simplify right side
    36,229.36x = 6,055,084,251.74
  5. Step 5: Solve for x
    x = 6,055,084,251.74/36,229.36
  6. Step 6: Final answer
    x = 167,131.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.