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Finding the Third Proportional to 36,623.25 and 54,924.75

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Solution

The third proportional to 36,623.25 and 54,924.75 is: 82,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,623.25 : 54,924.75 = 54,924.75 : x
  2. Step 2: Convert to fraction form
    36,623.25/54,924.75 = 54,924.75/x
  3. Step 3: Cross multiply
    36,623.25x = 54,924.75 × 54,924.75
  4. Step 4: Simplify right side
    36,623.25x = 3,016,728,162.56
  5. Step 5: Solve for x
    x = 3,016,728,162.56/36,623.25
  6. Step 6: Final answer
    x = 82,371.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.