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Finding the Third Proportional to 33.75 and 77.63

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Solution

The third proportional to 33.75 and 77.63 is: 178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.75 : 77.63 = 77.63 : x
  2. Step 2: Convert to fraction form
    33.75/77.63 = 77.63/x
  3. Step 3: Cross multiply
    33.75x = 77.63 × 77.63
  4. Step 4: Simplify right side
    33.75x = 6,025.64
  5. Step 5: Solve for x
    x = 6,025.64/33.75
  6. Step 6: Final answer
    x = 178.54

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.