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Finding the Third Proportional to 17.14 and 24.10

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Solution

The third proportional to 17.14 and 24.10 is: 33.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.14 : 24.10 = 24.10 : x
  2. Step 2: Convert to fraction form
    17.14/24.10 = 24.10/x
  3. Step 3: Cross multiply
    17.14x = 24.10 × 24.10
  4. Step 4: Simplify right side
    17.14x = 580.79
  5. Step 5: Solve for x
    x = 580.79/17.14
  6. Step 6: Final answer
    x = 33.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.