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Finding the Third Proportional to 22,942.06 and 33,414.44

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Solution

The third proportional to 22,942.06 and 33,414.44 is: 48,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.06 : 33,414.44 = 33,414.44 : x
  2. Step 2: Convert to fraction form
    22,942.06/33,414.44 = 33,414.44/x
  3. Step 3: Cross multiply
    22,942.06x = 33,414.44 × 33,414.44
  4. Step 4: Simplify right side
    22,942.06x = 1,116,524,633.44
  5. Step 5: Solve for x
    x = 1,116,524,633.44/22,942.06
  6. Step 6: Final answer
    x = 48,667.14

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Why These Related Problems?

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