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Finding the Third Proportional to 3,390.94 and 5,249.91

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Solution

The third proportional to 3,390.94 and 5,249.91 is: 8,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.94 : 5,249.91 = 5,249.91 : x
  2. Step 2: Convert to fraction form
    3,390.94/5,249.91 = 5,249.91/x
  3. Step 3: Cross multiply
    3,390.94x = 5,249.91 × 5,249.91
  4. Step 4: Simplify right side
    3,390.94x = 27,561,515.63
  5. Step 5: Solve for x
    x = 27,561,515.63/3,390.94
  6. Step 6: Final answer
    x = 8,127.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.