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Finding the Third Proportional to 36,972 and 79,668

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Solution

The third proportional to 36,972 and 79,668 is: 171,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 79,668 = 79,668 : x
  2. Step 2: Convert to fraction form
    36,972/79,668 = 79,668/x
  3. Step 3: Cross multiply
    36,972x = 79,668 × 79,668
  4. Step 4: Simplify right side
    36,972x = 6,346,990,224
  5. Step 5: Solve for x
    x = 6,346,990,224/36,972
  6. Step 6: Final answer
    x = 171,670.19

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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.