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Finding the Third Proportional to 48.62 and 107.76

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Solution

The third proportional to 48.62 and 107.76 is: 238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.62 : 107.76 = 107.76 : x
  2. Step 2: Convert to fraction form
    48.62/107.76 = 107.76/x
  3. Step 3: Cross multiply
    48.62x = 107.76 × 107.76
  4. Step 4: Simplify right side
    48.62x = 11,612.80
  5. Step 5: Solve for x
    x = 11,612.80/48.62
  6. Step 6: Final answer
    x = 238.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.