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Finding the Third Proportional to 16.50 and 25.25

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Solution

The third proportional to 16.50 and 25.25 is: 38.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.50 : 25.25 = 25.25 : x
  2. Step 2: Convert to fraction form
    16.50/25.25 = 25.25/x
  3. Step 3: Cross multiply
    16.50x = 25.25 × 25.25
  4. Step 4: Simplify right side
    16.50x = 637.56
  5. Step 5: Solve for x
    x = 637.56/16.50
  6. Step 6: Final answer
    x = 38.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.