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Finding the Third Proportional to 9.50 and 17.13

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Solution

The third proportional to 9.50 and 17.13 is: 30.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.50 : 17.13 = 17.13 : x
  2. Step 2: Convert to fraction form
    9.50/17.13 = 17.13/x
  3. Step 3: Cross multiply
    9.50x = 17.13 × 17.13
  4. Step 4: Simplify right side
    9.50x = 293.27
  5. Step 5: Solve for x
    x = 293.27/9.50
  6. Step 6: Final answer
    x = 30.87

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.