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Finding the Third Proportional to 2,100.62 and 3,304.71

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Solution

The third proportional to 2,100.62 and 3,304.71 is: 5,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.62 : 3,304.71 = 3,304.71 : x
  2. Step 2: Convert to fraction form
    2,100.62/3,304.71 = 3,304.71/x
  3. Step 3: Cross multiply
    2,100.62x = 3,304.71 × 3,304.71
  4. Step 4: Simplify right side
    2,100.62x = 10,921,075.65
  5. Step 5: Solve for x
    x = 10,921,075.65/2,100.62
  6. Step 6: Final answer
    x = 5,198.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.