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Finding the Third Proportional to 11.77 and 15.83

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Solution

The third proportional to 11.77 and 15.83 is: 21.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.77 : 15.83 = 15.83 : x
  2. Step 2: Convert to fraction form
    11.77/15.83 = 15.83/x
  3. Step 3: Cross multiply
    11.77x = 15.83 × 15.83
  4. Step 4: Simplify right side
    11.77x = 250.61
  5. Step 5: Solve for x
    x = 250.61/11.77
  6. Step 6: Final answer
    x = 21.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.