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Finding the Third Proportional to 15.82 and 22.29

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Solution

The third proportional to 15.82 and 22.29 is: 31.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.82 : 22.29 = 22.29 : x
  2. Step 2: Convert to fraction form
    15.82/22.29 = 22.29/x
  3. Step 3: Cross multiply
    15.82x = 22.29 × 22.29
  4. Step 4: Simplify right side
    15.82x = 496.80
  5. Step 5: Solve for x
    x = 496.80/15.82
  6. Step 6: Final answer
    x = 31.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.