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Finding the Third Proportional to 23,530 and 33,450

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Solution

The third proportional to 23,530 and 33,450 is: 47,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530 : 33,450 = 33,450 : x
  2. Step 2: Convert to fraction form
    23,530/33,450 = 33,450/x
  3. Step 3: Cross multiply
    23,530x = 33,450 × 33,450
  4. Step 4: Simplify right side
    23,530x = 1,118,902,500
  5. Step 5: Solve for x
    x = 1,118,902,500/23,530
  6. Step 6: Final answer
    x = 47,552.17

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.