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Finding the Third Proportional to 36,796 and 79,425

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Solution

The third proportional to 36,796 and 79,425 is: 171,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,796 : 79,425 = 79,425 : x
  2. Step 2: Convert to fraction form
    36,796/79,425 = 79,425/x
  3. Step 3: Cross multiply
    36,796x = 79,425 × 79,425
  4. Step 4: Simplify right side
    36,796x = 6,308,330,625
  5. Step 5: Solve for x
    x = 6,308,330,625/36,796
  6. Step 6: Final answer
    x = 171,440.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.