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Finding the Third Proportional to 39 and 77.44

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Solution

The third proportional to 39 and 77.44 is: 153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39 : 77.44 = 77.44 : x
  2. Step 2: Convert to fraction form
    39/77.44 = 77.44/x
  3. Step 3: Cross multiply
    39x = 77.44 × 77.44
  4. Step 4: Simplify right side
    39x = 5,996.57
  5. Step 5: Solve for x
    x = 5,996.57/39
  6. Step 6: Final answer
    x = 153.76

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.