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Finding the Third Proportional to 5,621.27 and 8,226.88

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Solution

The third proportional to 5,621.27 and 8,226.88 is: 12,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.27 : 8,226.88 = 8,226.88 : x
  2. Step 2: Convert to fraction form
    5,621.27/8,226.88 = 8,226.88/x
  3. Step 3: Cross multiply
    5,621.27x = 8,226.88 × 8,226.88
  4. Step 4: Simplify right side
    5,621.27x = 67,681,536.54
  5. Step 5: Solve for x
    x = 67,681,536.54/5,621.27
  6. Step 6: Final answer
    x = 12,040.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.