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Finding the Third Proportional to 48.70 and 105.04

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Solution

The third proportional to 48.70 and 105.04 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.70 : 105.04 = 105.04 : x
  2. Step 2: Convert to fraction form
    48.70/105.04 = 105.04/x
  3. Step 3: Cross multiply
    48.70x = 105.04 × 105.04
  4. Step 4: Simplify right side
    48.70x = 11,032.77
  5. Step 5: Solve for x
    x = 11,032.77/48.70
  6. Step 6: Final answer
    x = 226.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.