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Finding the Third Proportional to 23,568.75 and 50,827.25

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Solution

The third proportional to 23,568.75 and 50,827.25 is: 109,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.75 : 50,827.25 = 50,827.25 : x
  2. Step 2: Convert to fraction form
    23,568.75/50,827.25 = 50,827.25/x
  3. Step 3: Cross multiply
    23,568.75x = 50,827.25 × 50,827.25
  4. Step 4: Simplify right side
    23,568.75x = 2,583,409,342.56
  5. Step 5: Solve for x
    x = 2,583,409,342.56/23,568.75
  6. Step 6: Final answer
    x = 109,611.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.