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Finding the Third Proportional to 23,912 and 32,824

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Solution

The third proportional to 23,912 and 32,824 is: 45,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912 : 32,824 = 32,824 : x
  2. Step 2: Convert to fraction form
    23,912/32,824 = 32,824/x
  3. Step 3: Cross multiply
    23,912x = 32,824 × 32,824
  4. Step 4: Simplify right side
    23,912x = 1,077,414,976
  5. Step 5: Solve for x
    x = 1,077,414,976/23,912
  6. Step 6: Final answer
    x = 45,057.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.