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Finding the Third Proportional to 38.81 and 58.83

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Solution

The third proportional to 38.81 and 58.83 is: 89.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.81 : 58.83 = 58.83 : x
  2. Step 2: Convert to fraction form
    38.81/58.83 = 58.83/x
  3. Step 3: Cross multiply
    38.81x = 58.83 × 58.83
  4. Step 4: Simplify right side
    38.81x = 3,460.75
  5. Step 5: Solve for x
    x = 3,460.75/38.81
  6. Step 6: Final answer
    x = 89.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.