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Finding the Third Proportional to 69.50 and 163.63

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Solution

The third proportional to 69.50 and 163.63 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.50 : 163.63 = 163.63 : x
  2. Step 2: Convert to fraction form
    69.50/163.63 = 163.63/x
  3. Step 3: Cross multiply
    69.50x = 163.63 × 163.63
  4. Step 4: Simplify right side
    69.50x = 26,773.14
  5. Step 5: Solve for x
    x = 26,773.14/69.50
  6. Step 6: Final answer
    x = 385.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.