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Finding the Third Proportional to 36.31 and 62.17

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Solution

The third proportional to 36.31 and 62.17 is: 106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.31 : 62.17 = 62.17 : x
  2. Step 2: Convert to fraction form
    36.31/62.17 = 62.17/x
  3. Step 3: Cross multiply
    36.31x = 62.17 × 62.17
  4. Step 4: Simplify right side
    36.31x = 3,865.58
  5. Step 5: Solve for x
    x = 3,865.58/36.31
  6. Step 6: Final answer
    x = 106.47

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.