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Finding the Third Proportional to 50.84 and 96.44

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Solution

The third proportional to 50.84 and 96.44 is: 182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.84 : 96.44 = 96.44 : x
  2. Step 2: Convert to fraction form
    50.84/96.44 = 96.44/x
  3. Step 3: Cross multiply
    50.84x = 96.44 × 96.44
  4. Step 4: Simplify right side
    50.84x = 9,300.19
  5. Step 5: Solve for x
    x = 9,300.19/50.84
  6. Step 6: Final answer
    x = 182.92

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.