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Finding the Third Proportional to 11,739.75 and 24,297.75

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Solution

The third proportional to 11,739.75 and 24,297.75 is: 50,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.75 : 24,297.75 = 24,297.75 : x
  2. Step 2: Convert to fraction form
    11,739.75/24,297.75 = 24,297.75/x
  3. Step 3: Cross multiply
    11,739.75x = 24,297.75 × 24,297.75
  4. Step 4: Simplify right side
    11,739.75x = 590,380,655.06
  5. Step 5: Solve for x
    x = 590,380,655.06/11,739.75
  6. Step 6: Final answer
    x = 50,289.03

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.