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Finding the Third Proportional to 37.75 and 57.56

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Solution

The third proportional to 37.75 and 57.56 is: 87.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.75 : 57.56 = 57.56 : x
  2. Step 2: Convert to fraction form
    37.75/57.56 = 57.56/x
  3. Step 3: Cross multiply
    37.75x = 57.56 × 57.56
  4. Step 4: Simplify right side
    37.75x = 3,313.44
  5. Step 5: Solve for x
    x = 3,313.44/37.75
  6. Step 6: Final answer
    x = 87.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.