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Finding the Third Proportional to 12.14 and 17.05

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Solution

The third proportional to 12.14 and 17.05 is: 23.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.14 : 17.05 = 17.05 : x
  2. Step 2: Convert to fraction form
    12.14/17.05 = 17.05/x
  3. Step 3: Cross multiply
    12.14x = 17.05 × 17.05
  4. Step 4: Simplify right side
    12.14x = 290.69
  5. Step 5: Solve for x
    x = 290.69/12.14
  6. Step 6: Final answer
    x = 23.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.