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Finding the Third Proportional to 41.13 and 52.75

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Solution

The third proportional to 41.13 and 52.75 is: 67.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.13 : 52.75 = 52.75 : x
  2. Step 2: Convert to fraction form
    41.13/52.75 = 52.75/x
  3. Step 3: Cross multiply
    41.13x = 52.75 × 52.75
  4. Step 4: Simplify right side
    41.13x = 2,782.56
  5. Step 5: Solve for x
    x = 2,782.56/41.13
  6. Step 6: Final answer
    x = 67.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.