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Finding the Third Proportional to 37.56 and 81.25

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Solution

The third proportional to 37.56 and 81.25 is: 175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.56 : 81.25 = 81.25 : x
  2. Step 2: Convert to fraction form
    37.56/81.25 = 81.25/x
  3. Step 3: Cross multiply
    37.56x = 81.25 × 81.25
  4. Step 4: Simplify right side
    37.56x = 6,601.56
  5. Step 5: Solve for x
    x = 6,601.56/37.56
  6. Step 6: Final answer
    x = 175.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.