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Finding the Third Proportional to 6,940.69 and 10,919.81

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Solution

The third proportional to 6,940.69 and 10,919.81 is: 17,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.69 : 10,919.81 = 10,919.81 : x
  2. Step 2: Convert to fraction form
    6,940.69/10,919.81 = 10,919.81/x
  3. Step 3: Cross multiply
    6,940.69x = 10,919.81 × 10,919.81
  4. Step 4: Simplify right side
    6,940.69x = 119,242,305.04
  5. Step 5: Solve for x
    x = 119,242,305.04/6,940.69
  6. Step 6: Final answer
    x = 17,180.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.