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Finding the Third Proportional to 2.14 and 18.15

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Solution

The third proportional to 2.14 and 18.15 is: 154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 18.15 = 18.15 : x
  2. Step 2: Convert to fraction form
    2.14/18.15 = 18.15/x
  3. Step 3: Cross multiply
    2.14x = 18.15 × 18.15
  4. Step 4: Simplify right side
    2.14x = 329.56
  5. Step 5: Solve for x
    x = 329.56/2.14
  6. Step 6: Final answer
    x = 154.31

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Why These Related Problems?

These problems maintain the same ratio (8.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.