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Finding the Third Proportional to 13.94 and 22.84

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Solution

The third proportional to 13.94 and 22.84 is: 37.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.94 : 22.84 = 22.84 : x
  2. Step 2: Convert to fraction form
    13.94/22.84 = 22.84/x
  3. Step 3: Cross multiply
    13.94x = 22.84 × 22.84
  4. Step 4: Simplify right side
    13.94x = 521.84
  5. Step 5: Solve for x
    x = 521.84/13.94
  6. Step 6: Final answer
    x = 37.44

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.