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Finding the Third Proportional to 37,963 and 80,813

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Solution

The third proportional to 37,963 and 80,813 is: 172,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,963 : 80,813 = 80,813 : x
  2. Step 2: Convert to fraction form
    37,963/80,813 = 80,813/x
  3. Step 3: Cross multiply
    37,963x = 80,813 × 80,813
  4. Step 4: Simplify right side
    37,963x = 6,530,740,969
  5. Step 5: Solve for x
    x = 6,530,740,969/37,963
  6. Step 6: Final answer
    x = 172,029.11

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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.