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Finding the Third Proportional to 5,249.39 and 10,984.78

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Solution

The third proportional to 5,249.39 and 10,984.78 is: 22,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.39 : 10,984.78 = 10,984.78 : x
  2. Step 2: Convert to fraction form
    5,249.39/10,984.78 = 10,984.78/x
  3. Step 3: Cross multiply
    5,249.39x = 10,984.78 × 10,984.78
  4. Step 4: Simplify right side
    5,249.39x = 120,665,419.11
  5. Step 5: Solve for x
    x = 120,665,419.11/5,249.39
  6. Step 6: Final answer
    x = 22,986.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.