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Finding the Third Proportional to 36,289.88 and 57,027

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Solution

The third proportional to 36,289.88 and 57,027 is: 89,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,289.88 : 57,027 = 57,027 : x
  2. Step 2: Convert to fraction form
    36,289.88/57,027 = 57,027/x
  3. Step 3: Cross multiply
    36,289.88x = 57,027 × 57,027
  4. Step 4: Simplify right side
    36,289.88x = 3,252,078,729
  5. Step 5: Solve for x
    x = 3,252,078,729/36,289.88
  6. Step 6: Final answer
    x = 89,613.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.