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Finding the Third Proportional to 33.19 and 60.84

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Solution

The third proportional to 33.19 and 60.84 is: 111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.19 : 60.84 = 60.84 : x
  2. Step 2: Convert to fraction form
    33.19/60.84 = 60.84/x
  3. Step 3: Cross multiply
    33.19x = 60.84 × 60.84
  4. Step 4: Simplify right side
    33.19x = 3,701.96
  5. Step 5: Solve for x
    x = 3,701.96/33.19
  6. Step 6: Final answer
    x = 111.55

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.