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Finding the Third Proportional to 36,723.38 and 54,945.84

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Solution

The third proportional to 36,723.38 and 54,945.84 is: 82,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,723.38 : 54,945.84 = 54,945.84 : x
  2. Step 2: Convert to fraction form
    36,723.38/54,945.84 = 54,945.84/x
  3. Step 3: Cross multiply
    36,723.38x = 54,945.84 × 54,945.84
  4. Step 4: Simplify right side
    36,723.38x = 3,019,045,745.40
  5. Step 5: Solve for x
    x = 3,019,045,745.40/36,723.38
  6. Step 6: Final answer
    x = 82,210.47

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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.