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Finding the Third Proportional to 3.14 and 4.55

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Solution

The third proportional to 3.14 and 4.55 is: 6.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.14 : 4.55 = 4.55 : x
  2. Step 2: Convert to fraction form
    3.14/4.55 = 4.55/x
  3. Step 3: Cross multiply
    3.14x = 4.55 × 4.55
  4. Step 4: Simplify right side
    3.14x = 20.67
  5. Step 5: Solve for x
    x = 20.67/3.14
  6. Step 6: Final answer
    x = 6.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.