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Finding the Third Proportional to 16.08 and 24.73

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Solution

The third proportional to 16.08 and 24.73 is: 38.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.08 : 24.73 = 24.73 : x
  2. Step 2: Convert to fraction form
    16.08/24.73 = 24.73/x
  3. Step 3: Cross multiply
    16.08x = 24.73 × 24.73
  4. Step 4: Simplify right side
    16.08x = 611.79
  5. Step 5: Solve for x
    x = 611.79/16.08
  6. Step 6: Final answer
    x = 38.05

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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.