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Finding the Third Proportional to 9.46 and 17.20

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Solution

The third proportional to 9.46 and 17.20 is: 31.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.46 : 17.20 = 17.20 : x
  2. Step 2: Convert to fraction form
    9.46/17.20 = 17.20/x
  3. Step 3: Cross multiply
    9.46x = 17.20 × 17.20
  4. Step 4: Simplify right side
    9.46x = 295.98
  5. Step 5: Solve for x
    x = 295.98/9.46
  6. Step 6: Final answer
    x = 31.28

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.