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Finding the Third Proportional to 39.84 and 103.69

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Solution

The third proportional to 39.84 and 103.69 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.84 : 103.69 = 103.69 : x
  2. Step 2: Convert to fraction form
    39.84/103.69 = 103.69/x
  3. Step 3: Cross multiply
    39.84x = 103.69 × 103.69
  4. Step 4: Simplify right side
    39.84x = 10,751.10
  5. Step 5: Solve for x
    x = 10,751.10/39.84
  6. Step 6: Final answer
    x = 269.83

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.