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Finding the Third Proportional to 2,524.03 and 5,173.97

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Solution

The third proportional to 2,524.03 and 5,173.97 is: 10,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.03 : 5,173.97 = 5,173.97 : x
  2. Step 2: Convert to fraction form
    2,524.03/5,173.97 = 5,173.97/x
  3. Step 3: Cross multiply
    2,524.03x = 5,173.97 × 5,173.97
  4. Step 4: Simplify right side
    2,524.03x = 26,769,952.63
  5. Step 5: Solve for x
    x = 26,769,952.63/2,524.03
  6. Step 6: Final answer
    x = 10,606.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.