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Finding the Third Proportional to 2,020.89 and 4,397.73

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Solution

The third proportional to 2,020.89 and 4,397.73 is: 9,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.89 : 4,397.73 = 4,397.73 : x
  2. Step 2: Convert to fraction form
    2,020.89/4,397.73 = 4,397.73/x
  3. Step 3: Cross multiply
    2,020.89x = 4,397.73 × 4,397.73
  4. Step 4: Simplify right side
    2,020.89x = 19,340,033.28
  5. Step 5: Solve for x
    x = 19,340,033.28/2,020.89
  6. Step 6: Final answer
    x = 9,570.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.