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Finding the Third Proportional to 2,008.23 and 2,891.32

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Solution

The third proportional to 2,008.23 and 2,891.32 is: 4,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.23 : 2,891.32 = 2,891.32 : x
  2. Step 2: Convert to fraction form
    2,008.23/2,891.32 = 2,891.32/x
  3. Step 3: Cross multiply
    2,008.23x = 2,891.32 × 2,891.32
  4. Step 4: Simplify right side
    2,008.23x = 8,359,733.15
  5. Step 5: Solve for x
    x = 8,359,733.15/2,008.23
  6. Step 6: Final answer
    x = 4,162.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.