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Finding the Third Proportional to 2,496.91 and 5,548.03

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Solution

The third proportional to 2,496.91 and 5,548.03 is: 12,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.91 : 5,548.03 = 5,548.03 : x
  2. Step 2: Convert to fraction form
    2,496.91/5,548.03 = 5,548.03/x
  3. Step 3: Cross multiply
    2,496.91x = 5,548.03 × 5,548.03
  4. Step 4: Simplify right side
    2,496.91x = 30,780,650.75
  5. Step 5: Solve for x
    x = 30,780,650.75/2,496.91
  6. Step 6: Final answer
    x = 12,327.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.