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Finding the Third Proportional to 9 and 17.34

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Solution

The third proportional to 9 and 17.34 is: 33.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9 : 17.34 = 17.34 : x
  2. Step 2: Convert to fraction form
    9/17.34 = 17.34/x
  3. Step 3: Cross multiply
    9x = 17.34 × 17.34
  4. Step 4: Simplify right side
    9x = 300.81
  5. Step 5: Solve for x
    x = 300.81/9
  6. Step 6: Final answer
    x = 33.42

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.