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Finding the Third Proportional to 51.84 and 107.92

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Solution

The third proportional to 51.84 and 107.92 is: 224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 107.92 = 107.92 : x
  2. Step 2: Convert to fraction form
    51.84/107.92 = 107.92/x
  3. Step 3: Cross multiply
    51.84x = 107.92 × 107.92
  4. Step 4: Simplify right side
    51.84x = 11,647.13
  5. Step 5: Solve for x
    x = 11,647.13/51.84
  6. Step 6: Final answer
    x = 224.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.