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Finding the Third Proportional to 23,616.75 and 49,899.38

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Solution

The third proportional to 23,616.75 and 49,899.38 is: 105,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.75 : 49,899.38 = 49,899.38 : x
  2. Step 2: Convert to fraction form
    23,616.75/49,899.38 = 49,899.38/x
  3. Step 3: Cross multiply
    23,616.75x = 49,899.38 × 49,899.38
  4. Step 4: Simplify right side
    23,616.75x = 2,489,947,625.39
  5. Step 5: Solve for x
    x = 2,489,947,625.39/23,616.75
  6. Step 6: Final answer
    x = 105,431.43

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.