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Finding the Third Proportional to 39.77 and 60.83

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Solution

The third proportional to 39.77 and 60.83 is: 93.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.77 : 60.83 = 60.83 : x
  2. Step 2: Convert to fraction form
    39.77/60.83 = 60.83/x
  3. Step 3: Cross multiply
    39.77x = 60.83 × 60.83
  4. Step 4: Simplify right side
    39.77x = 3,700.06
  5. Step 5: Solve for x
    x = 3,700.06/39.77
  6. Step 6: Final answer
    x = 93.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.