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Finding the Third Proportional to 67.69 and 81.47

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Solution

The third proportional to 67.69 and 81.47 is: 98.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.69 : 81.47 = 81.47 : x
  2. Step 2: Convert to fraction form
    67.69/81.47 = 81.47/x
  3. Step 3: Cross multiply
    67.69x = 81.47 × 81.47
  4. Step 4: Simplify right side
    67.69x = 6,637.16
  5. Step 5: Solve for x
    x = 6,637.16/67.69
  6. Step 6: Final answer
    x = 98.06

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.