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Finding the Third Proportional to 22.09 and 46.44

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Solution

The third proportional to 22.09 and 46.44 is: 97.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.09 : 46.44 = 46.44 : x
  2. Step 2: Convert to fraction form
    22.09/46.44 = 46.44/x
  3. Step 3: Cross multiply
    22.09x = 46.44 × 46.44
  4. Step 4: Simplify right side
    22.09x = 2,156.44
  5. Step 5: Solve for x
    x = 2,156.44/22.09
  6. Step 6: Final answer
    x = 97.60

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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.