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Finding the Third Proportional to 4,568.91 and 9,496.83

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Solution

The third proportional to 4,568.91 and 9,496.83 is: 19,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.91 : 9,496.83 = 9,496.83 : x
  2. Step 2: Convert to fraction form
    4,568.91/9,496.83 = 9,496.83/x
  3. Step 3: Cross multiply
    4,568.91x = 9,496.83 × 9,496.83
  4. Step 4: Simplify right side
    4,568.91x = 90,189,744.44
  5. Step 5: Solve for x
    x = 90,189,744.44/4,568.91
  6. Step 6: Final answer
    x = 19,739.90

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.