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Finding the Third Proportional to 31.69 and 68.25

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Solution

The third proportional to 31.69 and 68.25 is: 147

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.69 : 68.25 = 68.25 : x
  2. Step 2: Convert to fraction form
    31.69/68.25 = 68.25/x
  3. Step 3: Cross multiply
    31.69x = 68.25 × 68.25
  4. Step 4: Simplify right side
    31.69x = 4,658.06
  5. Step 5: Solve for x
    x = 4,658.06/31.69
  6. Step 6: Final answer
    x = 147

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.