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Finding the Third Proportional to 34,879.50 and 54,141.19

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Solution

The third proportional to 34,879.50 and 54,141.19 is: 84,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,879.50 : 54,141.19 = 54,141.19 : x
  2. Step 2: Convert to fraction form
    34,879.50/54,141.19 = 54,141.19/x
  3. Step 3: Cross multiply
    34,879.50x = 54,141.19 × 54,141.19
  4. Step 4: Simplify right side
    34,879.50x = 2,931,268,183.91
  5. Step 5: Solve for x
    x = 2,931,268,183.91/34,879.50
  6. Step 6: Final answer
    x = 84,039.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.