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Finding the Third Proportional to 22,158 and 33,161.63

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Solution

The third proportional to 22,158 and 33,161.63 is: 49,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,158 : 33,161.63 = 33,161.63 : x
  2. Step 2: Convert to fraction form
    22,158/33,161.63 = 33,161.63/x
  3. Step 3: Cross multiply
    22,158x = 33,161.63 × 33,161.63
  4. Step 4: Simplify right side
    22,158x = 1,099,693,372.64
  5. Step 5: Solve for x
    x = 1,099,693,372.64/22,158
  6. Step 6: Final answer
    x = 49,629.63

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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.