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Finding the Third Proportional to 22.17 and 49.27

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Solution

The third proportional to 22.17 and 49.27 is: 109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.17 : 49.27 = 49.27 : x
  2. Step 2: Convert to fraction form
    22.17/49.27 = 49.27/x
  3. Step 3: Cross multiply
    22.17x = 49.27 × 49.27
  4. Step 4: Simplify right side
    22.17x = 2,427.14
  5. Step 5: Solve for x
    x = 2,427.14/22.17
  6. Step 6: Final answer
    x = 109.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.