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Finding the Third Proportional to 36,856 and 57,655

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Solution

The third proportional to 36,856 and 57,655 is: 90,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,856 : 57,655 = 57,655 : x
  2. Step 2: Convert to fraction form
    36,856/57,655 = 57,655/x
  3. Step 3: Cross multiply
    36,856x = 57,655 × 57,655
  4. Step 4: Simplify right side
    36,856x = 3,324,099,025
  5. Step 5: Solve for x
    x = 3,324,099,025/36,856
  6. Step 6: Final answer
    x = 90,191.53

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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.