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Finding the Third Proportional to 6,096.94 and 8,912.53

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Solution

The third proportional to 6,096.94 and 8,912.53 is: 13,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.94 : 8,912.53 = 8,912.53 : x
  2. Step 2: Convert to fraction form
    6,096.94/8,912.53 = 8,912.53/x
  3. Step 3: Cross multiply
    6,096.94x = 8,912.53 × 8,912.53
  4. Step 4: Simplify right side
    6,096.94x = 79,433,213.28
  5. Step 5: Solve for x
    x = 79,433,213.28/6,096.94
  6. Step 6: Final answer
    x = 13,028.38

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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.