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Finding the Third Proportional to 5,651.96 and 8,308.83

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Solution

The third proportional to 5,651.96 and 8,308.83 is: 12,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.96 : 8,308.83 = 8,308.83 : x
  2. Step 2: Convert to fraction form
    5,651.96/8,308.83 = 8,308.83/x
  3. Step 3: Cross multiply
    5,651.96x = 8,308.83 × 8,308.83
  4. Step 4: Simplify right side
    5,651.96x = 69,036,624.81
  5. Step 5: Solve for x
    x = 69,036,624.81/5,651.96
  6. Step 6: Final answer
    x = 12,214.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.