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Finding the Third Proportional to 17.06 and 30.42

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Solution

The third proportional to 17.06 and 30.42 is: 54.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.06 : 30.42 = 30.42 : x
  2. Step 2: Convert to fraction form
    17.06/30.42 = 30.42/x
  3. Step 3: Cross multiply
    17.06x = 30.42 × 30.42
  4. Step 4: Simplify right side
    17.06x = 925.49
  5. Step 5: Solve for x
    x = 925.49/17.06
  6. Step 6: Final answer
    x = 54.24

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.