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Finding the Third Proportional to 28.05 and 61.33

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Solution

The third proportional to 28.05 and 61.33 is: 134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.05 : 61.33 = 61.33 : x
  2. Step 2: Convert to fraction form
    28.05/61.33 = 61.33/x
  3. Step 3: Cross multiply
    28.05x = 61.33 × 61.33
  4. Step 4: Simplify right side
    28.05x = 3,761.38
  5. Step 5: Solve for x
    x = 3,761.38/28.05
  6. Step 6: Final answer
    x = 134.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.