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Finding the Third Proportional to 37 and 77.75

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Solution

The third proportional to 37 and 77.75 is: 163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37 : 77.75 = 77.75 : x
  2. Step 2: Convert to fraction form
    37/77.75 = 77.75/x
  3. Step 3: Cross multiply
    37x = 77.75 × 77.75
  4. Step 4: Simplify right side
    37x = 6,045.06
  5. Step 5: Solve for x
    x = 6,045.06/37
  6. Step 6: Final answer
    x = 163.38

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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.