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Finding the Third Proportional to 23,147 and 33,855

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Solution

The third proportional to 23,147 and 33,855 is: 49,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147 : 33,855 = 33,855 : x
  2. Step 2: Convert to fraction form
    23,147/33,855 = 33,855/x
  3. Step 3: Cross multiply
    23,147x = 33,855 × 33,855
  4. Step 4: Simplify right side
    23,147x = 1,146,161,025
  5. Step 5: Solve for x
    x = 1,146,161,025/23,147
  6. Step 6: Final answer
    x = 49,516.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.