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Finding the Third Proportional to 13.50 and 20.94

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Solution

The third proportional to 13.50 and 20.94 is: 32.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 20.94 = 20.94 : x
  2. Step 2: Convert to fraction form
    13.50/20.94 = 20.94/x
  3. Step 3: Cross multiply
    13.50x = 20.94 × 20.94
  4. Step 4: Simplify right side
    13.50x = 438.30
  5. Step 5: Solve for x
    x = 438.30/13.50
  6. Step 6: Final answer
    x = 32.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.