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Finding the Third Proportional to 51.79 and 107.37

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Solution

The third proportional to 51.79 and 107.37 is: 222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.79 : 107.37 = 107.37 : x
  2. Step 2: Convert to fraction form
    51.79/107.37 = 107.37/x
  3. Step 3: Cross multiply
    51.79x = 107.37 × 107.37
  4. Step 4: Simplify right side
    51.79x = 11,527.71
  5. Step 5: Solve for x
    x = 11,527.71/51.79
  6. Step 6: Final answer
    x = 222.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.