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Finding the Third Proportional to 36,986 and 79,344

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Solution

The third proportional to 36,986 and 79,344 is: 170,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,986 : 79,344 = 79,344 : x
  2. Step 2: Convert to fraction form
    36,986/79,344 = 79,344/x
  3. Step 3: Cross multiply
    36,986x = 79,344 × 79,344
  4. Step 4: Simplify right side
    36,986x = 6,295,470,336
  5. Step 5: Solve for x
    x = 6,295,470,336/36,986
  6. Step 6: Final answer
    x = 170,212.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.