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Finding the Third Proportional to 36,131 and 56,759

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Solution

The third proportional to 36,131 and 56,759 is: 89,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,131 : 56,759 = 56,759 : x
  2. Step 2: Convert to fraction form
    36,131/56,759 = 56,759/x
  3. Step 3: Cross multiply
    36,131x = 56,759 × 56,759
  4. Step 4: Simplify right side
    36,131x = 3,221,584,081
  5. Step 5: Solve for x
    x = 3,221,584,081/36,131
  6. Step 6: Final answer
    x = 89,163.99

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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.