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Finding the Third Proportional to 36,975 and 79,674

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Solution

The third proportional to 36,975 and 79,674 is: 171,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,975 : 79,674 = 79,674 : x
  2. Step 2: Convert to fraction form
    36,975/79,674 = 79,674/x
  3. Step 3: Cross multiply
    36,975x = 79,674 × 79,674
  4. Step 4: Simplify right side
    36,975x = 6,347,946,276
  5. Step 5: Solve for x
    x = 6,347,946,276/36,975
  6. Step 6: Final answer
    x = 171,682.12

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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.