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Finding the Third Proportional to 37.73 and 58.83

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Solution

The third proportional to 37.73 and 58.83 is: 91.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.73 : 58.83 = 58.83 : x
  2. Step 2: Convert to fraction form
    37.73/58.83 = 58.83/x
  3. Step 3: Cross multiply
    37.73x = 58.83 × 58.83
  4. Step 4: Simplify right side
    37.73x = 3,460.75
  5. Step 5: Solve for x
    x = 3,460.75/37.73
  6. Step 6: Final answer
    x = 91.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.