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Finding the Third Proportional to 23,003.25 and 49,635.75

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Solution

The third proportional to 23,003.25 and 49,635.75 is: 107,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,003.25 : 49,635.75 = 49,635.75 : x
  2. Step 2: Convert to fraction form
    23,003.25/49,635.75 = 49,635.75/x
  3. Step 3: Cross multiply
    23,003.25x = 49,635.75 × 49,635.75
  4. Step 4: Simplify right side
    23,003.25x = 2,463,707,678.06
  5. Step 5: Solve for x
    x = 2,463,707,678.06/23,003.25
  6. Step 6: Final answer
    x = 107,102.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.