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Finding the Third Proportional to 2,008.41 and 4,325.20

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Solution

The third proportional to 2,008.41 and 4,325.20 is: 9,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.41 : 4,325.20 = 4,325.20 : x
  2. Step 2: Convert to fraction form
    2,008.41/4,325.20 = 4,325.20/x
  3. Step 3: Cross multiply
    2,008.41x = 4,325.20 × 4,325.20
  4. Step 4: Simplify right side
    2,008.41x = 18,707,382.07
  5. Step 5: Solve for x
    x = 18,707,382.07/2,008.41
  6. Step 6: Final answer
    x = 9,314.54

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Why These Related Problems?

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