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Finding the Third Proportional to 7.74 and 16.74

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Solution

The third proportional to 7.74 and 16.74 is: 36.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.74 : 16.74 = 16.74 : x
  2. Step 2: Convert to fraction form
    7.74/16.74 = 16.74/x
  3. Step 3: Cross multiply
    7.74x = 16.74 × 16.74
  4. Step 4: Simplify right side
    7.74x = 280.33
  5. Step 5: Solve for x
    x = 280.33/7.74
  6. Step 6: Final answer
    x = 36.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.