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Finding the Third Proportional to 39.94 and 62.81

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Solution

The third proportional to 39.94 and 62.81 is: 98.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.94 : 62.81 = 62.81 : x
  2. Step 2: Convert to fraction form
    39.94/62.81 = 62.81/x
  3. Step 3: Cross multiply
    39.94x = 62.81 × 62.81
  4. Step 4: Simplify right side
    39.94x = 3,945.41
  5. Step 5: Solve for x
    x = 3,945.41/39.94
  6. Step 6: Final answer
    x = 98.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.