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Finding the Third Proportional to 67.28 and 86.50

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Solution

The third proportional to 67.28 and 86.50 is: 111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.28 : 86.50 = 86.50 : x
  2. Step 2: Convert to fraction form
    67.28/86.50 = 86.50/x
  3. Step 3: Cross multiply
    67.28x = 86.50 × 86.50
  4. Step 4: Simplify right side
    67.28x = 7,481.83
  5. Step 5: Solve for x
    x = 7,481.83/67.28
  6. Step 6: Final answer
    x = 111.21

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.