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Finding the Third Proportional to 22,233.25 and 33,914.63

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Solution

The third proportional to 22,233.25 and 33,914.63 is: 51,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,233.25 : 33,914.63 = 33,914.63 : x
  2. Step 2: Convert to fraction form
    22,233.25/33,914.63 = 33,914.63/x
  3. Step 3: Cross multiply
    22,233.25x = 33,914.63 × 33,914.63
  4. Step 4: Simplify right side
    22,233.25x = 1,150,201,788.89
  5. Step 5: Solve for x
    x = 1,150,201,788.89/22,233.25
  6. Step 6: Final answer
    x = 51,733.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.