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Finding the Third Proportional to 49,697.30 and 74,380.78

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Solution

The third proportional to 49,697.30 and 74,380.78 is: 111,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,697.30 : 74,380.78 = 74,380.78 : x
  2. Step 2: Convert to fraction form
    49,697.30/74,380.78 = 74,380.78/x
  3. Step 3: Cross multiply
    49,697.30x = 74,380.78 × 74,380.78
  4. Step 4: Simplify right side
    49,697.30x = 5,532,500,619.36
  5. Step 5: Solve for x
    x = 5,532,500,619.36/49,697.30
  6. Step 6: Final answer
    x = 111,323.97

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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.