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Finding the Third Proportional to 2.74 and 4.01

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Solution

The third proportional to 2.74 and 4.01 is: 5.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.74 : 4.01 = 4.01 : x
  2. Step 2: Convert to fraction form
    2.74/4.01 = 4.01/x
  3. Step 3: Cross multiply
    2.74x = 4.01 × 4.01
  4. Step 4: Simplify right side
    2.74x = 16.06
  5. Step 5: Solve for x
    x = 16.06/2.74
  6. Step 6: Final answer
    x = 5.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.