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Finding the Third Proportional to 2,213.44 and 4,371.19

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Solution

The third proportional to 2,213.44 and 4,371.19 is: 8,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.44 : 4,371.19 = 4,371.19 : x
  2. Step 2: Convert to fraction form
    2,213.44/4,371.19 = 4,371.19/x
  3. Step 3: Cross multiply
    2,213.44x = 4,371.19 × 4,371.19
  4. Step 4: Simplify right side
    2,213.44x = 19,107,280.16
  5. Step 5: Solve for x
    x = 19,107,280.16/2,213.44
  6. Step 6: Final answer
    x = 8,632.40

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.