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Finding the Third Proportional to 6,974.25 and 9,940.88

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Solution

The third proportional to 6,974.25 and 9,940.88 is: 14,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.25 : 9,940.88 = 9,940.88 : x
  2. Step 2: Convert to fraction form
    6,974.25/9,940.88 = 9,940.88/x
  3. Step 3: Cross multiply
    6,974.25x = 9,940.88 × 9,940.88
  4. Step 4: Simplify right side
    6,974.25x = 98,820,995.77
  5. Step 5: Solve for x
    x = 98,820,995.77/6,974.25
  6. Step 6: Final answer
    x = 14,169.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.