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Finding the Third Proportional to 37.50 and 57.75

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Solution

The third proportional to 37.50 and 57.75 is: 88.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.50 : 57.75 = 57.75 : x
  2. Step 2: Convert to fraction form
    37.50/57.75 = 57.75/x
  3. Step 3: Cross multiply
    37.50x = 57.75 × 57.75
  4. Step 4: Simplify right side
    37.50x = 3,335.06
  5. Step 5: Solve for x
    x = 3,335.06/37.50
  6. Step 6: Final answer
    x = 88.94

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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.