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Finding the Third Proportional to 2,548.97 and 4,472.44

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Solution

The third proportional to 2,548.97 and 4,472.44 is: 7,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.97 : 4,472.44 = 4,472.44 : x
  2. Step 2: Convert to fraction form
    2,548.97/4,472.44 = 4,472.44/x
  3. Step 3: Cross multiply
    2,548.97x = 4,472.44 × 4,472.44
  4. Step 4: Simplify right side
    2,548.97x = 20,002,697.19
  5. Step 5: Solve for x
    x = 20,002,697.19/2,548.97
  6. Step 6: Final answer
    x = 7,847.37

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.