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Finding the Third Proportional to 6,825.94 and 10,943.44

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Solution

The third proportional to 6,825.94 and 10,943.44 is: 17,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.94 : 10,943.44 = 10,943.44 : x
  2. Step 2: Convert to fraction form
    6,825.94/10,943.44 = 10,943.44/x
  3. Step 3: Cross multiply
    6,825.94x = 10,943.44 × 10,943.44
  4. Step 4: Simplify right side
    6,825.94x = 119,758,824.32
  5. Step 5: Solve for x
    x = 119,758,824.32/6,825.94
  6. Step 6: Final answer
    x = 17,544.67

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.