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Finding the Third Proportional to 8,078.80 and 18,131.03

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Solution

The third proportional to 8,078.80 and 18,131.03 is: 40,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.80 : 18,131.03 = 18,131.03 : x
  2. Step 2: Convert to fraction form
    8,078.80/18,131.03 = 18,131.03/x
  3. Step 3: Cross multiply
    8,078.80x = 18,131.03 × 18,131.03
  4. Step 4: Simplify right side
    8,078.80x = 328,734,152.54
  5. Step 5: Solve for x
    x = 328,734,152.54/8,078.80
  6. Step 6: Final answer
    x = 40,690.96

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.