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Finding the Third Proportional to 3,993.49 and 6,046.21

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Solution

The third proportional to 3,993.49 and 6,046.21 is: 9,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.49 : 6,046.21 = 6,046.21 : x
  2. Step 2: Convert to fraction form
    3,993.49/6,046.21 = 6,046.21/x
  3. Step 3: Cross multiply
    3,993.49x = 6,046.21 × 6,046.21
  4. Step 4: Simplify right side
    3,993.49x = 36,556,619.46
  5. Step 5: Solve for x
    x = 36,556,619.46/3,993.49
  6. Step 6: Final answer
    x = 9,154.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.