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Finding the Third Proportional to 23,502.75 and 50,639.25

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Solution

The third proportional to 23,502.75 and 50,639.25 is: 109,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.75 : 50,639.25 = 50,639.25 : x
  2. Step 2: Convert to fraction form
    23,502.75/50,639.25 = 50,639.25/x
  3. Step 3: Cross multiply
    23,502.75x = 50,639.25 × 50,639.25
  4. Step 4: Simplify right side
    23,502.75x = 2,564,333,640.56
  5. Step 5: Solve for x
    x = 2,564,333,640.56/23,502.75
  6. Step 6: Final answer
    x = 109,107.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.