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Finding the Third Proportional to 36,494 and 77,697

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Solution

The third proportional to 36,494 and 77,697 is: 165,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,494 : 77,697 = 77,697 : x
  2. Step 2: Convert to fraction form
    36,494/77,697 = 77,697/x
  3. Step 3: Cross multiply
    36,494x = 77,697 × 77,697
  4. Step 4: Simplify right side
    36,494x = 6,036,823,809
  5. Step 5: Solve for x
    x = 6,036,823,809/36,494
  6. Step 6: Final answer
    x = 165,419.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.