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Finding the Third Proportional to 50.94 and 102.83

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Solution

The third proportional to 50.94 and 102.83 is: 207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 102.83 = 102.83 : x
  2. Step 2: Convert to fraction form
    50.94/102.83 = 102.83/x
  3. Step 3: Cross multiply
    50.94x = 102.83 × 102.83
  4. Step 4: Simplify right side
    50.94x = 10,574.43
  5. Step 5: Solve for x
    x = 10,574.43/50.94
  6. Step 6: Final answer
    x = 207.58

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.