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Finding the Third Proportional to 36,920.81 and 54,601.59

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Solution

The third proportional to 36,920.81 and 54,601.59 is: 80,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,920.81 : 54,601.59 = 54,601.59 : x
  2. Step 2: Convert to fraction form
    36,920.81/54,601.59 = 54,601.59/x
  3. Step 3: Cross multiply
    36,920.81x = 54,601.59 × 54,601.59
  4. Step 4: Simplify right side
    36,920.81x = 2,981,334,040.04
  5. Step 5: Solve for x
    x = 2,981,334,040.04/36,920.81
  6. Step 6: Final answer
    x = 80,749.42

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.