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Finding the Third Proportional to 3,511.97 and 4,940.20

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Solution

The third proportional to 3,511.97 and 4,940.20 is: 6,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.97 : 4,940.20 = 4,940.20 : x
  2. Step 2: Convert to fraction form
    3,511.97/4,940.20 = 4,940.20/x
  3. Step 3: Cross multiply
    3,511.97x = 4,940.20 × 4,940.20
  4. Step 4: Simplify right side
    3,511.97x = 24,405,606.92
  5. Step 5: Solve for x
    x = 24,405,606.92/3,511.97
  6. Step 6: Final answer
    x = 6,949.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.