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Finding the Third Proportional to 3,893.06 and 6,039.56

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Solution

The third proportional to 3,893.06 and 6,039.56 is: 9,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.06 : 6,039.56 = 6,039.56 : x
  2. Step 2: Convert to fraction form
    3,893.06/6,039.56 = 6,039.56/x
  3. Step 3: Cross multiply
    3,893.06x = 6,039.56 × 6,039.56
  4. Step 4: Simplify right side
    3,893.06x = 36,476,315.19
  5. Step 5: Solve for x
    x = 36,476,315.19/3,893.06
  6. Step 6: Final answer
    x = 9,369.57

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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.