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Finding the Third Proportional to 17.54 and 25.80

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Solution

The third proportional to 17.54 and 25.80 is: 37.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.54 : 25.80 = 25.80 : x
  2. Step 2: Convert to fraction form
    17.54/25.80 = 25.80/x
  3. Step 3: Cross multiply
    17.54x = 25.80 × 25.80
  4. Step 4: Simplify right side
    17.54x = 665.84
  5. Step 5: Solve for x
    x = 665.84/17.54
  6. Step 6: Final answer
    x = 37.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.