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Finding the Third Proportional to 37,721.25 and 82,206.38

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Solution

The third proportional to 37,721.25 and 82,206.38 is: 179,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,721.25 : 82,206.38 = 82,206.38 : x
  2. Step 2: Convert to fraction form
    37,721.25/82,206.38 = 82,206.38/x
  3. Step 3: Cross multiply
    37,721.25x = 82,206.38 × 82,206.38
  4. Step 4: Simplify right side
    37,721.25x = 6,757,888,090.64
  5. Step 5: Solve for x
    x = 6,757,888,090.64/37,721.25
  6. Step 6: Final answer
    x = 179,153.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.