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Finding the Third Proportional to 23,049.38 and 46,944.75

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Solution

The third proportional to 23,049.38 and 46,944.75 is: 95,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.38 : 46,944.75 = 46,944.75 : x
  2. Step 2: Convert to fraction form
    23,049.38/46,944.75 = 46,944.75/x
  3. Step 3: Cross multiply
    23,049.38x = 46,944.75 × 46,944.75
  4. Step 4: Simplify right side
    23,049.38x = 2,203,809,552.56
  5. Step 5: Solve for x
    x = 2,203,809,552.56/23,049.38
  6. Step 6: Final answer
    x = 95,612.55

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.