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Finding the Third Proportional to 7.49 and 17.14

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Solution

The third proportional to 7.49 and 17.14 is: 39.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.49 : 17.14 = 17.14 : x
  2. Step 2: Convert to fraction form
    7.49/17.14 = 17.14/x
  3. Step 3: Cross multiply
    7.49x = 17.14 × 17.14
  4. Step 4: Simplify right side
    7.49x = 293.73
  5. Step 5: Solve for x
    x = 293.73/7.49
  6. Step 6: Final answer
    x = 39.23

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.