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Finding the Third Proportional to 33.64 and 62.47

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Solution

The third proportional to 33.64 and 62.47 is: 116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.64 : 62.47 = 62.47 : x
  2. Step 2: Convert to fraction form
    33.64/62.47 = 62.47/x
  3. Step 3: Cross multiply
    33.64x = 62.47 × 62.47
  4. Step 4: Simplify right side
    33.64x = 3,902.56
  5. Step 5: Solve for x
    x = 3,902.56/33.64
  6. Step 6: Final answer
    x = 116.02

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.