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Finding the Third Proportional to 3,889.90 and 6,033.23

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Solution

The third proportional to 3,889.90 and 6,033.23 is: 9,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.90 : 6,033.23 = 6,033.23 : x
  2. Step 2: Convert to fraction form
    3,889.90/6,033.23 = 6,033.23/x
  3. Step 3: Cross multiply
    3,889.90x = 6,033.23 × 6,033.23
  4. Step 4: Simplify right side
    3,889.90x = 36,399,917.02
  5. Step 5: Solve for x
    x = 36,399,917.02/3,889.90
  6. Step 6: Final answer
    x = 9,357.55

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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.