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Finding the Third Proportional to 3,024.21 and 8,226.88

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Solution

The third proportional to 3,024.21 and 8,226.88 is: 22,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.21 : 8,226.88 = 8,226.88 : x
  2. Step 2: Convert to fraction form
    3,024.21/8,226.88 = 8,226.88/x
  3. Step 3: Cross multiply
    3,024.21x = 8,226.88 × 8,226.88
  4. Step 4: Simplify right side
    3,024.21x = 67,681,536.54
  5. Step 5: Solve for x
    x = 67,681,536.54/3,024.21
  6. Step 6: Final answer
    x = 22,379.90

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.