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Finding the Third Proportional to 2,940.84 and 6,280.41

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Solution

The third proportional to 2,940.84 and 6,280.41 is: 13,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.84 : 6,280.41 = 6,280.41 : x
  2. Step 2: Convert to fraction form
    2,940.84/6,280.41 = 6,280.41/x
  3. Step 3: Cross multiply
    2,940.84x = 6,280.41 × 6,280.41
  4. Step 4: Simplify right side
    2,940.84x = 39,443,502.67
  5. Step 5: Solve for x
    x = 39,443,502.67/2,940.84
  6. Step 6: Final answer
    x = 13,412.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.