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Finding the Third Proportional to 6,940.69 and 10,836.28

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Solution

The third proportional to 6,940.69 and 10,836.28 is: 16,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.69 : 10,836.28 = 10,836.28 : x
  2. Step 2: Convert to fraction form
    6,940.69/10,836.28 = 10,836.28/x
  3. Step 3: Cross multiply
    6,940.69x = 10,836.28 × 10,836.28
  4. Step 4: Simplify right side
    6,940.69x = 117,424,991.33
  5. Step 5: Solve for x
    x = 117,424,991.33/6,940.69
  6. Step 6: Final answer
    x = 16,918.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.