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Finding the Third Proportional to 2.74 and 3.62

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Solution

The third proportional to 2.74 and 3.62 is: 4.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.74 : 3.62 = 3.62 : x
  2. Step 2: Convert to fraction form
    2.74/3.62 = 3.62/x
  3. Step 3: Cross multiply
    2.74x = 3.62 × 3.62
  4. Step 4: Simplify right side
    2.74x = 13.11
  5. Step 5: Solve for x
    x = 13.11/2.74
  6. Step 6: Final answer
    x = 4.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.