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Finding the Third Proportional to 22,942.69 and 33,415.38

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Solution

The third proportional to 22,942.69 and 33,415.38 is: 48,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.69 : 33,415.38 = 33,415.38 : x
  2. Step 2: Convert to fraction form
    22,942.69/33,415.38 = 33,415.38/x
  3. Step 3: Cross multiply
    22,942.69x = 33,415.38 × 33,415.38
  4. Step 4: Simplify right side
    22,942.69x = 1,116,587,286.39
  5. Step 5: Solve for x
    x = 1,116,587,286.39/22,942.69
  6. Step 6: Final answer
    x = 48,668.55

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