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Finding the Third Proportional to 23,020.45 and 49,583.39

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Solution

The third proportional to 23,020.45 and 49,583.39 is: 106,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.45 : 49,583.39 = 49,583.39 : x
  2. Step 2: Convert to fraction form
    23,020.45/49,583.39 = 49,583.39/x
  3. Step 3: Cross multiply
    23,020.45x = 49,583.39 × 49,583.39
  4. Step 4: Simplify right side
    23,020.45x = 2,458,512,625.87
  5. Step 5: Solve for x
    x = 2,458,512,625.87/23,020.45
  6. Step 6: Final answer
    x = 106,796.88

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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.