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Finding the Third Proportional to 8,982.93 and 18,273.41

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Solution

The third proportional to 8,982.93 and 18,273.41 is: 37,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.93 : 18,273.41 = 18,273.41 : x
  2. Step 2: Convert to fraction form
    8,982.93/18,273.41 = 18,273.41/x
  3. Step 3: Cross multiply
    8,982.93x = 18,273.41 × 18,273.41
  4. Step 4: Simplify right side
    8,982.93x = 333,917,518.74
  5. Step 5: Solve for x
    x = 333,917,518.74/8,982.93
  6. Step 6: Final answer
    x = 37,172.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.