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Finding the Third Proportional to 2,080.41 and 4,468.22

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Solution

The third proportional to 2,080.41 and 4,468.22 is: 9,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.41 : 4,468.22 = 4,468.22 : x
  2. Step 2: Convert to fraction form
    2,080.41/4,468.22 = 4,468.22/x
  3. Step 3: Cross multiply
    2,080.41x = 4,468.22 × 4,468.22
  4. Step 4: Simplify right side
    2,080.41x = 19,964,978.80
  5. Step 5: Solve for x
    x = 19,964,978.80/2,080.41
  6. Step 6: Final answer
    x = 9,596.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.