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Finding the Third Proportional to 5,757.38 and 8,446.88

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Solution

The third proportional to 5,757.38 and 8,446.88 is: 12,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.38 : 8,446.88 = 8,446.88 : x
  2. Step 2: Convert to fraction form
    5,757.38/8,446.88 = 8,446.88/x
  3. Step 3: Cross multiply
    5,757.38x = 8,446.88 × 8,446.88
  4. Step 4: Simplify right side
    5,757.38x = 71,349,697.27
  5. Step 5: Solve for x
    x = 71,349,697.27/5,757.38
  6. Step 6: Final answer
    x = 12,392.75

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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.