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Finding the Third Proportional to 11.60 and 16.31

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Solution

The third proportional to 11.60 and 16.31 is: 22.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.60 : 16.31 = 16.31 : x
  2. Step 2: Convert to fraction form
    11.60/16.31 = 16.31/x
  3. Step 3: Cross multiply
    11.60x = 16.31 × 16.31
  4. Step 4: Simplify right side
    11.60x = 266.17
  5. Step 5: Solve for x
    x = 266.17/11.60
  6. Step 6: Final answer
    x = 22.95

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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.