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Finding the Third Proportional to 3,936.41 and 6,019.00

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Solution

The third proportional to 3,936.41 and 6,019.00 is: 9,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.41 : 6,019.00 = 6,019.00 : x
  2. Step 2: Convert to fraction form
    3,936.41/6,019.00 = 6,019.00/x
  3. Step 3: Cross multiply
    3,936.41x = 6,019.00 × 6,019.00
  4. Step 4: Simplify right side
    3,936.41x = 36,228,313.98
  5. Step 5: Solve for x
    x = 36,228,313.98/3,936.41
  6. Step 6: Final answer
    x = 9,203.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.