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Finding the Third Proportional to 63.94 and 77.88

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Solution

The third proportional to 63.94 and 77.88 is: 94.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.94 : 77.88 = 77.88 : x
  2. Step 2: Convert to fraction form
    63.94/77.88 = 77.88/x
  3. Step 3: Cross multiply
    63.94x = 77.88 × 77.88
  4. Step 4: Simplify right side
    63.94x = 6,064.52
  5. Step 5: Solve for x
    x = 6,064.52/63.94
  6. Step 6: Final answer
    x = 94.85

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.