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Finding the Third Proportional to 36,586 and 79,868

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Solution

The third proportional to 36,586 and 79,868 is: 174,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586 : 79,868 = 79,868 : x
  2. Step 2: Convert to fraction form
    36,586/79,868 = 79,868/x
  3. Step 3: Cross multiply
    36,586x = 79,868 × 79,868
  4. Step 4: Simplify right side
    36,586x = 6,378,897,424
  5. Step 5: Solve for x
    x = 6,378,897,424/36,586
  6. Step 6: Final answer
    x = 174,353.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.