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Finding the Third Proportional to 48.09 and 105.36

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Solution

The third proportional to 48.09 and 105.36 is: 230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.09 : 105.36 = 105.36 : x
  2. Step 2: Convert to fraction form
    48.09/105.36 = 105.36/x
  3. Step 3: Cross multiply
    48.09x = 105.36 × 105.36
  4. Step 4: Simplify right side
    48.09x = 11,101.42
  5. Step 5: Solve for x
    x = 11,101.42/48.09
  6. Step 6: Final answer
    x = 230.83

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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.