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Finding the Third Proportional to 22.12 and 46.37

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Solution

The third proportional to 22.12 and 46.37 is: 97.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.12 : 46.37 = 46.37 : x
  2. Step 2: Convert to fraction form
    22.12/46.37 = 46.37/x
  3. Step 3: Cross multiply
    22.12x = 46.37 × 46.37
  4. Step 4: Simplify right side
    22.12x = 2,150.28
  5. Step 5: Solve for x
    x = 2,150.28/22.12
  6. Step 6: Final answer
    x = 97.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.