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Finding the Third Proportional to 13.84 and 30.22

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Solution

The third proportional to 13.84 and 30.22 is: 65.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.84 : 30.22 = 30.22 : x
  2. Step 2: Convert to fraction form
    13.84/30.22 = 30.22/x
  3. Step 3: Cross multiply
    13.84x = 30.22 × 30.22
  4. Step 4: Simplify right side
    13.84x = 913.17
  5. Step 5: Solve for x
    x = 913.17/13.84
  6. Step 6: Final answer
    x = 65.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.