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Finding the Third Proportional to 9.50 and 21.94

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Solution

The third proportional to 9.50 and 21.94 is: 50.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.50 : 21.94 = 21.94 : x
  2. Step 2: Convert to fraction form
    9.50/21.94 = 21.94/x
  3. Step 3: Cross multiply
    9.50x = 21.94 × 21.94
  4. Step 4: Simplify right side
    9.50x = 481.25
  5. Step 5: Solve for x
    x = 481.25/9.50
  6. Step 6: Final answer
    x = 50.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.