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Finding the Third Proportional to 62.97 and 163.09

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Solution

The third proportional to 62.97 and 163.09 is: 422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.97 : 163.09 = 163.09 : x
  2. Step 2: Convert to fraction form
    62.97/163.09 = 163.09/x
  3. Step 3: Cross multiply
    62.97x = 163.09 × 163.09
  4. Step 4: Simplify right side
    62.97x = 26,599.57
  5. Step 5: Solve for x
    x = 26,599.57/62.97
  6. Step 6: Final answer
    x = 422.42

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.