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Finding the Third Proportional to 37.41 and 57.66

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Solution

The third proportional to 37.41 and 57.66 is: 88.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.41 : 57.66 = 57.66 : x
  2. Step 2: Convert to fraction form
    37.41/57.66 = 57.66/x
  3. Step 3: Cross multiply
    37.41x = 57.66 × 57.66
  4. Step 4: Simplify right side
    37.41x = 3,324.24
  5. Step 5: Solve for x
    x = 3,324.24/37.41
  6. Step 6: Final answer
    x = 88.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.