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Finding the Third Proportional to 36,908 and 57,258.75

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Solution

The third proportional to 36,908 and 57,258.75 is: 88,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,908 : 57,258.75 = 57,258.75 : x
  2. Step 2: Convert to fraction form
    36,908/57,258.75 = 57,258.75/x
  3. Step 3: Cross multiply
    36,908x = 57,258.75 × 57,258.75
  4. Step 4: Simplify right side
    36,908x = 3,278,564,451.56
  5. Step 5: Solve for x
    x = 3,278,564,451.56/36,908
  6. Step 6: Final answer
    x = 88,830.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.