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Finding the Third Proportional to 27.70 and 60.82

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Solution

The third proportional to 27.70 and 60.82 is: 133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.70 : 60.82 = 60.82 : x
  2. Step 2: Convert to fraction form
    27.70/60.82 = 60.82/x
  3. Step 3: Cross multiply
    27.70x = 60.82 × 60.82
  4. Step 4: Simplify right side
    27.70x = 3,699.11
  5. Step 5: Solve for x
    x = 3,699.11/27.70
  6. Step 6: Final answer
    x = 133.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.