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Finding the Third Proportional to 16.00 and 22.61

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Solution

The third proportional to 16.00 and 22.61 is: 31.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.00 : 22.61 = 22.61 : x
  2. Step 2: Convert to fraction form
    16.00/22.61 = 22.61/x
  3. Step 3: Cross multiply
    16.00x = 22.61 × 22.61
  4. Step 4: Simplify right side
    16.00x = 511.01
  5. Step 5: Solve for x
    x = 511.01/16.00
  6. Step 6: Final answer
    x = 31.95

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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.