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Finding the Third Proportional to 36,296 and 57,039

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Solution

The third proportional to 36,296 and 57,039 is: 89,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,296 : 57,039 = 57,039 : x
  2. Step 2: Convert to fraction form
    36,296/57,039 = 57,039/x
  3. Step 3: Cross multiply
    36,296x = 57,039 × 57,039
  4. Step 4: Simplify right side
    36,296x = 3,253,447,521
  5. Step 5: Solve for x
    x = 3,253,447,521/36,296
  6. Step 6: Final answer
    x = 89,636.53

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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.