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Finding the Third Proportional to 23,989.75 and 50,747.25

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Solution

The third proportional to 23,989.75 and 50,747.25 is: 107,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,989.75 : 50,747.25 = 50,747.25 : x
  2. Step 2: Convert to fraction form
    23,989.75/50,747.25 = 50,747.25/x
  3. Step 3: Cross multiply
    23,989.75x = 50,747.25 × 50,747.25
  4. Step 4: Simplify right side
    23,989.75x = 2,575,283,382.56
  5. Step 5: Solve for x
    x = 2,575,283,382.56/23,989.75
  6. Step 6: Final answer
    x = 107,349.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.