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Finding the Third Proportional to 23,944.13 and 37,896.38

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Solution

The third proportional to 23,944.13 and 37,896.38 is: 59,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,944.13 : 37,896.38 = 37,896.38 : x
  2. Step 2: Convert to fraction form
    23,944.13/37,896.38 = 37,896.38/x
  3. Step 3: Cross multiply
    23,944.13x = 37,896.38 × 37,896.38
  4. Step 4: Simplify right side
    23,944.13x = 1,436,135,238.14
  5. Step 5: Solve for x
    x = 1,436,135,238.14/23,944.13
  6. Step 6: Final answer
    x = 59,978.61

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.