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Finding the Third Proportional to 36,529.31 and 54,794.81

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Solution

The third proportional to 36,529.31 and 54,794.81 is: 82,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,529.31 : 54,794.81 = 54,794.81 : x
  2. Step 2: Convert to fraction form
    36,529.31/54,794.81 = 54,794.81/x
  3. Step 3: Cross multiply
    36,529.31x = 54,794.81 × 54,794.81
  4. Step 4: Simplify right side
    36,529.31x = 3,002,471,476.91
  5. Step 5: Solve for x
    x = 3,002,471,476.91/36,529.31
  6. Step 6: Final answer
    x = 82,193.48

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