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Finding the Third Proportional to 2.70 and 4.14

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Solution

The third proportional to 2.70 and 4.14 is: 6.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.70 : 4.14 = 4.14 : x
  2. Step 2: Convert to fraction form
    2.70/4.14 = 4.14/x
  3. Step 3: Cross multiply
    2.70x = 4.14 × 4.14
  4. Step 4: Simplify right side
    2.70x = 17.13
  5. Step 5: Solve for x
    x = 17.13/2.70
  6. Step 6: Final answer
    x = 6.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.