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Finding the Third Proportional to 36,716 and 57,238

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Solution

The third proportional to 36,716 and 57,238 is: 89,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,716 : 57,238 = 57,238 : x
  2. Step 2: Convert to fraction form
    36,716/57,238 = 57,238/x
  3. Step 3: Cross multiply
    36,716x = 57,238 × 57,238
  4. Step 4: Simplify right side
    36,716x = 3,276,188,644
  5. Step 5: Solve for x
    x = 3,276,188,644/36,716
  6. Step 6: Final answer
    x = 89,230.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.