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Finding the Third Proportional to 16.25 and 28.63

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Solution

The third proportional to 16.25 and 28.63 is: 50.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.25 : 28.63 = 28.63 : x
  2. Step 2: Convert to fraction form
    16.25/28.63 = 28.63/x
  3. Step 3: Cross multiply
    16.25x = 28.63 × 28.63
  4. Step 4: Simplify right side
    16.25x = 819.39
  5. Step 5: Solve for x
    x = 819.39/16.25
  6. Step 6: Final answer
    x = 50.42

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.