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Finding the Third Proportional to 37,668 and 80,334

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Solution

The third proportional to 37,668 and 80,334 is: 171,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668 : 80,334 = 80,334 : x
  2. Step 2: Convert to fraction form
    37,668/80,334 = 80,334/x
  3. Step 3: Cross multiply
    37,668x = 80,334 × 80,334
  4. Step 4: Simplify right side
    37,668x = 6,453,551,556
  5. Step 5: Solve for x
    x = 6,453,551,556/37,668
  6. Step 6: Final answer
    x = 171,327.16

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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.