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Finding the Third Proportional to 26.97 and 67.94

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Solution

The third proportional to 26.97 and 67.94 is: 171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.97 : 67.94 = 67.94 : x
  2. Step 2: Convert to fraction form
    26.97/67.94 = 67.94/x
  3. Step 3: Cross multiply
    26.97x = 67.94 × 67.94
  4. Step 4: Simplify right side
    26.97x = 4,615.50
  5. Step 5: Solve for x
    x = 4,615.50/26.97
  6. Step 6: Final answer
    x = 171.14

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.