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Finding the Third Proportional to 23,183.72 and 49,647.94

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Solution

The third proportional to 23,183.72 and 49,647.94 is: 106,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.72 : 49,647.94 = 49,647.94 : x
  2. Step 2: Convert to fraction form
    23,183.72/49,647.94 = 49,647.94/x
  3. Step 3: Cross multiply
    23,183.72x = 49,647.94 × 49,647.94
  4. Step 4: Simplify right side
    23,183.72x = 2,464,917,698.00
  5. Step 5: Solve for x
    x = 2,464,917,698.00/23,183.72
  6. Step 6: Final answer
    x = 106,321.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.