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Finding the Third Proportional to 8.19 and 11.57

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Solution

The third proportional to 8.19 and 11.57 is: 16.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.19 : 11.57 = 11.57 : x
  2. Step 2: Convert to fraction form
    8.19/11.57 = 11.57/x
  3. Step 3: Cross multiply
    8.19x = 11.57 × 11.57
  4. Step 4: Simplify right side
    8.19x = 133.83
  5. Step 5: Solve for x
    x = 133.83/8.19
  6. Step 6: Final answer
    x = 16.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.