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Finding the Third Proportional to 23,079 and 33,003.56

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Solution

The third proportional to 23,079 and 33,003.56 is: 47,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,079 : 33,003.56 = 33,003.56 : x
  2. Step 2: Convert to fraction form
    23,079/33,003.56 = 33,003.56/x
  3. Step 3: Cross multiply
    23,079x = 33,003.56 × 33,003.56
  4. Step 4: Simplify right side
    23,079x = 1,089,235,137.69
  5. Step 5: Solve for x
    x = 1,089,235,137.69/23,079
  6. Step 6: Final answer
    x = 47,195.94

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.