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Finding the Third Proportional to 37.75 and 88.75

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Solution

The third proportional to 37.75 and 88.75 is: 208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.75 : 88.75 = 88.75 : x
  2. Step 2: Convert to fraction form
    37.75/88.75 = 88.75/x
  3. Step 3: Cross multiply
    37.75x = 88.75 × 88.75
  4. Step 4: Simplify right side
    37.75x = 7,876.56
  5. Step 5: Solve for x
    x = 7,876.56/37.75
  6. Step 6: Final answer
    x = 208.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.