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Finding the Third Proportional to 1,942.03 and 2,622.80

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Solution

The third proportional to 1,942.03 and 2,622.80 is: 3,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.03 : 2,622.80 = 2,622.80 : x
  2. Step 2: Convert to fraction form
    1,942.03/2,622.80 = 2,622.80/x
  3. Step 3: Cross multiply
    1,942.03x = 2,622.80 × 2,622.80
  4. Step 4: Simplify right side
    1,942.03x = 6,879,063.45
  5. Step 5: Solve for x
    x = 6,879,063.45/1,942.03
  6. Step 6: Final answer
    x = 3,542.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.