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Finding the Third Proportional to 22.57 and 49.46

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Solution

The third proportional to 22.57 and 49.46 is: 108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.57 : 49.46 = 49.46 : x
  2. Step 2: Convert to fraction form
    22.57/49.46 = 49.46/x
  3. Step 3: Cross multiply
    22.57x = 49.46 × 49.46
  4. Step 4: Simplify right side
    22.57x = 2,446.77
  5. Step 5: Solve for x
    x = 2,446.77/22.57
  6. Step 6: Final answer
    x = 108.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.