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Finding the Third Proportional to 63.82 and 135.35

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Solution

The third proportional to 63.82 and 135.35 is: 287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.82 : 135.35 = 135.35 : x
  2. Step 2: Convert to fraction form
    63.82/135.35 = 135.35/x
  3. Step 3: Cross multiply
    63.82x = 135.35 × 135.35
  4. Step 4: Simplify right side
    63.82x = 18,318.31
  5. Step 5: Solve for x
    x = 18,318.31/63.82
  6. Step 6: Final answer
    x = 287.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.