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Finding the Third Proportional to 48.13 and 105.63

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Solution

The third proportional to 48.13 and 105.63 is: 231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.13 : 105.63 = 105.63 : x
  2. Step 2: Convert to fraction form
    48.13/105.63 = 105.63/x
  3. Step 3: Cross multiply
    48.13x = 105.63 × 105.63
  4. Step 4: Simplify right side
    48.13x = 11,156.64
  5. Step 5: Solve for x
    x = 11,156.64/48.13
  6. Step 6: Final answer
    x = 231.83

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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.