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Finding the Third Proportional to 7.73 and 17.16

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Solution

The third proportional to 7.73 and 17.16 is: 38.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.73 : 17.16 = 17.16 : x
  2. Step 2: Convert to fraction form
    7.73/17.16 = 17.16/x
  3. Step 3: Cross multiply
    7.73x = 17.16 × 17.16
  4. Step 4: Simplify right side
    7.73x = 294.34
  5. Step 5: Solve for x
    x = 294.34/7.73
  6. Step 6: Final answer
    x = 38.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.