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Finding the Third Proportional to 33.56 and 50.53

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Solution

The third proportional to 33.56 and 50.53 is: 76.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.56 : 50.53 = 50.53 : x
  2. Step 2: Convert to fraction form
    33.56/50.53 = 50.53/x
  3. Step 3: Cross multiply
    33.56x = 50.53 × 50.53
  4. Step 4: Simplify right side
    33.56x = 2,553.41
  5. Step 5: Solve for x
    x = 2,553.41/33.56
  6. Step 6: Final answer
    x = 76.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.