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Finding the Third Proportional to 22.75 and 43.44

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Solution

The third proportional to 22.75 and 43.44 is: 82.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.75 : 43.44 = 43.44 : x
  2. Step 2: Convert to fraction form
    22.75/43.44 = 43.44/x
  3. Step 3: Cross multiply
    22.75x = 43.44 × 43.44
  4. Step 4: Simplify right side
    22.75x = 1,886.82
  5. Step 5: Solve for x
    x = 1,886.82/22.75
  6. Step 6: Final answer
    x = 82.94

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.