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Finding the Third Proportional to 37.14 and 77.95

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Solution

The third proportional to 37.14 and 77.95 is: 163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.14 : 77.95 = 77.95 : x
  2. Step 2: Convert to fraction form
    37.14/77.95 = 77.95/x
  3. Step 3: Cross multiply
    37.14x = 77.95 × 77.95
  4. Step 4: Simplify right side
    37.14x = 6,076.92
  5. Step 5: Solve for x
    x = 6,076.92/37.14
  6. Step 6: Final answer
    x = 163.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.