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Finding the Third Proportional to 2,408.48 and 4,694.20

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Solution

The third proportional to 2,408.48 and 4,694.20 is: 9,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.48 : 4,694.20 = 4,694.20 : x
  2. Step 2: Convert to fraction form
    2,408.48/4,694.20 = 4,694.20/x
  3. Step 3: Cross multiply
    2,408.48x = 4,694.20 × 4,694.20
  4. Step 4: Simplify right side
    2,408.48x = 22,035,542.98
  5. Step 5: Solve for x
    x = 22,035,542.98/2,408.48
  6. Step 6: Final answer
    x = 9,149.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.