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Finding the Third Proportional to 37,334.75 and 80,607

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Solution

The third proportional to 37,334.75 and 80,607 is: 174,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,334.75 : 80,607 = 80,607 : x
  2. Step 2: Convert to fraction form
    37,334.75/80,607 = 80,607/x
  3. Step 3: Cross multiply
    37,334.75x = 80,607 × 80,607
  4. Step 4: Simplify right side
    37,334.75x = 6,497,488,449
  5. Step 5: Solve for x
    x = 6,497,488,449/37,334.75
  6. Step 6: Final answer
    x = 174,033.27

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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.