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Finding the Third Proportional to 21,883 and 33,025

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Solution

The third proportional to 21,883 and 33,025 is: 49,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883 : 33,025 = 33,025 : x
  2. Step 2: Convert to fraction form
    21,883/33,025 = 33,025/x
  3. Step 3: Cross multiply
    21,883x = 33,025 × 33,025
  4. Step 4: Simplify right side
    21,883x = 1,090,650,625
  5. Step 5: Solve for x
    x = 1,090,650,625/21,883
  6. Step 6: Final answer
    x = 49,840.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.