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Finding the Third Proportional to 23,105.25 and 33,016.50

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Solution

The third proportional to 23,105.25 and 33,016.50 is: 47,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.25 : 33,016.50 = 33,016.50 : x
  2. Step 2: Convert to fraction form
    23,105.25/33,016.50 = 33,016.50/x
  3. Step 3: Cross multiply
    23,105.25x = 33,016.50 × 33,016.50
  4. Step 4: Simplify right side
    23,105.25x = 1,090,089,272.25
  5. Step 5: Solve for x
    x = 1,090,089,272.25/23,105.25
  6. Step 6: Final answer
    x = 47,179.29

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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.