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Finding the Third Proportional to 77.94 and 91.38

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Solution

The third proportional to 77.94 and 91.38 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.94 : 91.38 = 91.38 : x
  2. Step 2: Convert to fraction form
    77.94/91.38 = 91.38/x
  3. Step 3: Cross multiply
    77.94x = 91.38 × 91.38
  4. Step 4: Simplify right side
    77.94x = 8,349.39
  5. Step 5: Solve for x
    x = 8,349.39/77.94
  6. Step 6: Final answer
    x = 107.13

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.