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Finding the Third Proportional to 1.74 and 3.82

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Solution

The third proportional to 1.74 and 3.82 is: 8.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.74 : 3.82 = 3.82 : x
  2. Step 2: Convert to fraction form
    1.74/3.82 = 3.82/x
  3. Step 3: Cross multiply
    1.74x = 3.82 × 3.82
  4. Step 4: Simplify right side
    1.74x = 14.61
  5. Step 5: Solve for x
    x = 14.61/1.74
  6. Step 6: Final answer
    x = 8.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.