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Finding the Third Proportional to 37,546 and 80,912

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Solution

The third proportional to 37,546 and 80,912 is: 174,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,546 : 80,912 = 80,912 : x
  2. Step 2: Convert to fraction form
    37,546/80,912 = 80,912/x
  3. Step 3: Cross multiply
    37,546x = 80,912 × 80,912
  4. Step 4: Simplify right side
    37,546x = 6,546,751,744
  5. Step 5: Solve for x
    x = 6,546,751,744/37,546
  6. Step 6: Final answer
    x = 174,366.16

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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.