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Finding the Third Proportional to 1.55 and 3.14

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Solution

The third proportional to 1.55 and 3.14 is: 6.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.55 : 3.14 = 3.14 : x
  2. Step 2: Convert to fraction form
    1.55/3.14 = 3.14/x
  3. Step 3: Cross multiply
    1.55x = 3.14 × 3.14
  4. Step 4: Simplify right side
    1.55x = 9.86
  5. Step 5: Solve for x
    x = 9.86/1.55
  6. Step 6: Final answer
    x = 6.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.