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Finding the Third Proportional to 49.29 and 108.07

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Solution

The third proportional to 49.29 and 108.07 is: 236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.29 : 108.07 = 108.07 : x
  2. Step 2: Convert to fraction form
    49.29/108.07 = 108.07/x
  3. Step 3: Cross multiply
    49.29x = 108.07 × 108.07
  4. Step 4: Simplify right side
    49.29x = 11,679.19
  5. Step 5: Solve for x
    x = 11,679.19/49.29
  6. Step 6: Final answer
    x = 236.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.