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Finding the Third Proportional to 52.75 and 110.38

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Solution

The third proportional to 52.75 and 110.38 is: 230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.75 : 110.38 = 110.38 : x
  2. Step 2: Convert to fraction form
    52.75/110.38 = 110.38/x
  3. Step 3: Cross multiply
    52.75x = 110.38 × 110.38
  4. Step 4: Simplify right side
    52.75x = 12,182.64
  5. Step 5: Solve for x
    x = 12,182.64/52.75
  6. Step 6: Final answer
    x = 230.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.