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Finding the Third Proportional to 63.44 and 93.81

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Solution

The third proportional to 63.44 and 93.81 is: 138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.44 : 93.81 = 93.81 : x
  2. Step 2: Convert to fraction form
    63.44/93.81 = 93.81/x
  3. Step 3: Cross multiply
    63.44x = 93.81 × 93.81
  4. Step 4: Simplify right side
    63.44x = 8,800.79
  5. Step 5: Solve for x
    x = 8,800.79/63.44
  6. Step 6: Final answer
    x = 138.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.