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Finding the Third Proportional to 37,005.75 and 81,393

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Solution

The third proportional to 37,005.75 and 81,393 is: 179,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,005.75 : 81,393 = 81,393 : x
  2. Step 2: Convert to fraction form
    37,005.75/81,393 = 81,393/x
  3. Step 3: Cross multiply
    37,005.75x = 81,393 × 81,393
  4. Step 4: Simplify right side
    37,005.75x = 6,624,820,449
  5. Step 5: Solve for x
    x = 6,624,820,449/37,005.75
  6. Step 6: Final answer
    x = 179,021.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.