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Finding the Third Proportional to 42 and 44

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Solution

The third proportional to 42 and 44 is: 46.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 44 = 44 : x
  2. Step 2: Convert to fraction form
    42/44 = 44/x
  3. Step 3: Cross multiply
    42x = 44 × 44
  4. Step 4: Simplify right side
    42x = 1,936
  5. Step 5: Solve for x
    x = 1,936/42
  6. Step 6: Final answer
    x = 46.10

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Why These Related Problems?

These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.