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Finding the Third Proportional to 40,623.75 and 90,583.03

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Solution

The third proportional to 40,623.75 and 90,583.03 is: 201,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,623.75 : 90,583.03 = 90,583.03 : x
  2. Step 2: Convert to fraction form
    40,623.75/90,583.03 = 90,583.03/x
  3. Step 3: Cross multiply
    40,623.75x = 90,583.03 × 90,583.03
  4. Step 4: Simplify right side
    40,623.75x = 8,205,285,550.44
  5. Step 5: Solve for x
    x = 8,205,285,550.44/40,623.75
  6. Step 6: Final answer
    x = 201,982.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.