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Finding the Third Proportional to 23,361.75 and 35,035.31

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Solution

The third proportional to 23,361.75 and 35,035.31 is: 52,542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361.75 : 35,035.31 = 35,035.31 : x
  2. Step 2: Convert to fraction form
    23,361.75/35,035.31 = 35,035.31/x
  3. Step 3: Cross multiply
    23,361.75x = 35,035.31 × 35,035.31
  4. Step 4: Simplify right side
    23,361.75x = 1,227,473,121.97
  5. Step 5: Solve for x
    x = 1,227,473,121.97/23,361.75
  6. Step 6: Final answer
    x = 52,542.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.