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Finding the Third Proportional to 6,804.56 and 10,407.94

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Solution

The third proportional to 6,804.56 and 10,407.94 is: 15,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.56 : 10,407.94 = 10,407.94 : x
  2. Step 2: Convert to fraction form
    6,804.56/10,407.94 = 10,407.94/x
  3. Step 3: Cross multiply
    6,804.56x = 10,407.94 × 10,407.94
  4. Step 4: Simplify right side
    6,804.56x = 108,325,163.00
  5. Step 5: Solve for x
    x = 108,325,163.00/6,804.56
  6. Step 6: Final answer
    x = 15,919.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.