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Finding the Third Proportional to 21,832 and 32,855

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Solution

The third proportional to 21,832 and 32,855 is: 49,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832 : 32,855 = 32,855 : x
  2. Step 2: Convert to fraction form
    21,832/32,855 = 32,855/x
  3. Step 3: Cross multiply
    21,832x = 32,855 × 32,855
  4. Step 4: Simplify right side
    21,832x = 1,079,451,025
  5. Step 5: Solve for x
    x = 1,079,451,025/21,832
  6. Step 6: Final answer
    x = 49,443.52

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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.