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Finding the Third Proportional to 13.84 and 30.76

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Solution

The third proportional to 13.84 and 30.76 is: 68.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.84 : 30.76 = 30.76 : x
  2. Step 2: Convert to fraction form
    13.84/30.76 = 30.76/x
  3. Step 3: Cross multiply
    13.84x = 30.76 × 30.76
  4. Step 4: Simplify right side
    13.84x = 945.96
  5. Step 5: Solve for x
    x = 945.96/13.84
  6. Step 6: Final answer
    x = 68.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.