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Finding the Third Proportional to 2.09 and 2.74

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Solution

The third proportional to 2.09 and 2.74 is: 3.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.09 : 2.74 = 2.74 : x
  2. Step 2: Convert to fraction form
    2.09/2.74 = 2.74/x
  3. Step 3: Cross multiply
    2.09x = 2.74 × 2.74
  4. Step 4: Simplify right side
    2.09x = 7.50
  5. Step 5: Solve for x
    x = 7.50/2.09
  6. Step 6: Final answer
    x = 3.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.