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Finding the Third Proportional to 22.62 and 39.96

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Solution

The third proportional to 22.62 and 39.96 is: 70.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.62 : 39.96 = 39.96 : x
  2. Step 2: Convert to fraction form
    22.62/39.96 = 39.96/x
  3. Step 3: Cross multiply
    22.62x = 39.96 × 39.96
  4. Step 4: Simplify right side
    22.62x = 1,596.88
  5. Step 5: Solve for x
    x = 1,596.88/22.62
  6. Step 6: Final answer
    x = 70.60

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.