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Finding the Third Proportional to 49.15 and 106.84

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Solution

The third proportional to 49.15 and 106.84 is: 232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.15 : 106.84 = 106.84 : x
  2. Step 2: Convert to fraction form
    49.15/106.84 = 106.84/x
  3. Step 3: Cross multiply
    49.15x = 106.84 × 106.84
  4. Step 4: Simplify right side
    49.15x = 11,414.75
  5. Step 5: Solve for x
    x = 11,414.75/49.15
  6. Step 6: Final answer
    x = 232.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.