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Finding the Third Proportional to 2,940.94 and 4,321.41

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Solution

The third proportional to 2,940.94 and 4,321.41 is: 6,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.94 : 4,321.41 = 4,321.41 : x
  2. Step 2: Convert to fraction form
    2,940.94/4,321.41 = 4,321.41/x
  3. Step 3: Cross multiply
    2,940.94x = 4,321.41 × 4,321.41
  4. Step 4: Simplify right side
    2,940.94x = 18,674,551.98
  5. Step 5: Solve for x
    x = 18,674,551.98/2,940.94
  6. Step 6: Final answer
    x = 6,349.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.