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Finding the Third Proportional to 33.84 and 57.14

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Solution

The third proportional to 33.84 and 57.14 is: 96.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.84 : 57.14 = 57.14 : x
  2. Step 2: Convert to fraction form
    33.84/57.14 = 57.14/x
  3. Step 3: Cross multiply
    33.84x = 57.14 × 57.14
  4. Step 4: Simplify right side
    33.84x = 3,265.05
  5. Step 5: Solve for x
    x = 3,265.05/33.84
  6. Step 6: Final answer
    x = 96.47

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.