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Finding the Third Proportional to 67.50 and 74.44

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Solution

The third proportional to 67.50 and 74.44 is: 82.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 74.44 = 74.44 : x
  2. Step 2: Convert to fraction form
    67.50/74.44 = 74.44/x
  3. Step 3: Cross multiply
    67.50x = 74.44 × 74.44
  4. Step 4: Simplify right side
    67.50x = 5,540.94
  5. Step 5: Solve for x
    x = 5,540.94/67.50
  6. Step 6: Final answer
    x = 82.09

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.