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Finding the Third Proportional to 63.38 and 101.69

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Solution

The third proportional to 63.38 and 101.69 is: 163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.38 : 101.69 = 101.69 : x
  2. Step 2: Convert to fraction form
    63.38/101.69 = 101.69/x
  3. Step 3: Cross multiply
    63.38x = 101.69 × 101.69
  4. Step 4: Simplify right side
    63.38x = 10,340.35
  5. Step 5: Solve for x
    x = 10,340.35/63.38
  6. Step 6: Final answer
    x = 163.16

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.