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Finding the Third Proportional to 2.14 and 2.79

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Solution

The third proportional to 2.14 and 2.79 is: 3.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 2.79 = 2.79 : x
  2. Step 2: Convert to fraction form
    2.14/2.79 = 2.79/x
  3. Step 3: Cross multiply
    2.14x = 2.79 × 2.79
  4. Step 4: Simplify right side
    2.14x = 7.77
  5. Step 5: Solve for x
    x = 7.77/2.14
  6. Step 6: Final answer
    x = 3.64

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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.