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Finding the Third Proportional to 42.13 and 44.75

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Solution

The third proportional to 42.13 and 44.75 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.13 : 44.75 = 44.75 : x
  2. Step 2: Convert to fraction form
    42.13/44.75 = 44.75/x
  3. Step 3: Cross multiply
    42.13x = 44.75 × 44.75
  4. Step 4: Simplify right side
    42.13x = 2,002.56
  5. Step 5: Solve for x
    x = 2,002.56/42.13
  6. Step 6: Final answer
    x = 47.54

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.