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Finding the Third Proportional to 22,682.25 and 33,231.38

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Solution

The third proportional to 22,682.25 and 33,231.38 is: 48,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.25 : 33,231.38 = 33,231.38 : x
  2. Step 2: Convert to fraction form
    22,682.25/33,231.38 = 33,231.38/x
  3. Step 3: Cross multiply
    22,682.25x = 33,231.38 × 33,231.38
  4. Step 4: Simplify right side
    22,682.25x = 1,104,324,284.39
  5. Step 5: Solve for x
    x = 1,104,324,284.39/22,682.25
  6. Step 6: Final answer
    x = 48,686.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.