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Finding the Third Proportional to 37,369 and 80,843

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Solution

The third proportional to 37,369 and 80,843 is: 174,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,369 : 80,843 = 80,843 : x
  2. Step 2: Convert to fraction form
    37,369/80,843 = 80,843/x
  3. Step 3: Cross multiply
    37,369x = 80,843 × 80,843
  4. Step 4: Simplify right side
    37,369x = 6,535,590,649
  5. Step 5: Solve for x
    x = 6,535,590,649/37,369
  6. Step 6: Final answer
    x = 174,893.38

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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.