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Finding the Third Proportional to 23,542.31 and 34,906.22

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Solution

The third proportional to 23,542.31 and 34,906.22 is: 51,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542.31 : 34,906.22 = 34,906.22 : x
  2. Step 2: Convert to fraction form
    23,542.31/34,906.22 = 34,906.22/x
  3. Step 3: Cross multiply
    23,542.31x = 34,906.22 × 34,906.22
  4. Step 4: Simplify right side
    23,542.31x = 1,218,444,107.42
  5. Step 5: Solve for x
    x = 1,218,444,107.42/23,542.31
  6. Step 6: Final answer
    x = 51,755.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.