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Finding the Third Proportional to 5,757.96 and 12,558.16

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Solution

The third proportional to 5,757.96 and 12,558.16 is: 27,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.96 : 12,558.16 = 12,558.16 : x
  2. Step 2: Convert to fraction form
    5,757.96/12,558.16 = 12,558.16/x
  3. Step 3: Cross multiply
    5,757.96x = 12,558.16 × 12,558.16
  4. Step 4: Simplify right side
    5,757.96x = 157,707,484.62
  5. Step 5: Solve for x
    x = 157,707,484.62/5,757.96
  6. Step 6: Final answer
    x = 27,389.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.