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Finding the Third Proportional to 16.63 and 25.28

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Solution

The third proportional to 16.63 and 25.28 is: 38.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.63 : 25.28 = 25.28 : x
  2. Step 2: Convert to fraction form
    16.63/25.28 = 25.28/x
  3. Step 3: Cross multiply
    16.63x = 25.28 × 25.28
  4. Step 4: Simplify right side
    16.63x = 638.94
  5. Step 5: Solve for x
    x = 638.94/16.63
  6. Step 6: Final answer
    x = 38.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.