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Finding the Third Proportional to 23,603 and 49,939.75

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Solution

The third proportional to 23,603 and 49,939.75 is: 105,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603 : 49,939.75 = 49,939.75 : x
  2. Step 2: Convert to fraction form
    23,603/49,939.75 = 49,939.75/x
  3. Step 3: Cross multiply
    23,603x = 49,939.75 × 49,939.75
  4. Step 4: Simplify right side
    23,603x = 2,493,978,630.06
  5. Step 5: Solve for x
    x = 2,493,978,630.06/23,603
  6. Step 6: Final answer
    x = 105,663.63

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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.