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Finding the Third Proportional to 5,600.81 and 8,157.38

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Solution

The third proportional to 5,600.81 and 8,157.38 is: 11,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.81 : 8,157.38 = 8,157.38 : x
  2. Step 2: Convert to fraction form
    5,600.81/8,157.38 = 8,157.38/x
  3. Step 3: Cross multiply
    5,600.81x = 8,157.38 × 8,157.38
  4. Step 4: Simplify right side
    5,600.81x = 66,542,766.89
  5. Step 5: Solve for x
    x = 66,542,766.89/5,600.81
  6. Step 6: Final answer
    x = 11,880.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.