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Finding the Third Proportional to 6,804.28 and 10,408.92

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Solution

The third proportional to 6,804.28 and 10,408.92 is: 15,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.28 : 10,408.92 = 10,408.92 : x
  2. Step 2: Convert to fraction form
    6,804.28/10,408.92 = 10,408.92/x
  3. Step 3: Cross multiply
    6,804.28x = 10,408.92 × 10,408.92
  4. Step 4: Simplify right side
    6,804.28x = 108,345,654.60
  5. Step 5: Solve for x
    x = 108,345,654.60/6,804.28
  6. Step 6: Final answer
    x = 15,923.16

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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.