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Finding the Third Proportional to 16.77 and 25.79

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Solution

The third proportional to 16.77 and 25.79 is: 39.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.77 : 25.79 = 25.79 : x
  2. Step 2: Convert to fraction form
    16.77/25.79 = 25.79/x
  3. Step 3: Cross multiply
    16.77x = 25.79 × 25.79
  4. Step 4: Simplify right side
    16.77x = 664.98
  5. Step 5: Solve for x
    x = 664.98/16.77
  6. Step 6: Final answer
    x = 39.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.