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Finding the Third Proportional to 37.97 and 57.23

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Solution

The third proportional to 37.97 and 57.23 is: 86.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 57.23 = 57.23 : x
  2. Step 2: Convert to fraction form
    37.97/57.23 = 57.23/x
  3. Step 3: Cross multiply
    37.97x = 57.23 × 57.23
  4. Step 4: Simplify right side
    37.97x = 3,275.77
  5. Step 5: Solve for x
    x = 3,275.77/37.97
  6. Step 6: Final answer
    x = 86.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.