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Finding the Third Proportional to 11.57 and 17.20

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Solution

The third proportional to 11.57 and 17.20 is: 25.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.57 : 17.20 = 17.20 : x
  2. Step 2: Convert to fraction form
    11.57/17.20 = 17.20/x
  3. Step 3: Cross multiply
    11.57x = 17.20 × 17.20
  4. Step 4: Simplify right side
    11.57x = 295.98
  5. Step 5: Solve for x
    x = 295.98/11.57
  6. Step 6: Final answer
    x = 25.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.