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Finding the Third Proportional to 3,087.56 and 6,019.45

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Solution

The third proportional to 3,087.56 and 6,019.45 is: 11,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.56 : 6,019.45 = 6,019.45 : x
  2. Step 2: Convert to fraction form
    3,087.56/6,019.45 = 6,019.45/x
  3. Step 3: Cross multiply
    3,087.56x = 6,019.45 × 6,019.45
  4. Step 4: Simplify right side
    3,087.56x = 36,233,815.92
  5. Step 5: Solve for x
    x = 36,233,815.92/3,087.56
  6. Step 6: Final answer
    x = 11,735.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.