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Finding the Third Proportional to 6,096.94 and 12,981.94

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Solution

The third proportional to 6,096.94 and 12,981.94 is: 27,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.94 : 12,981.94 = 12,981.94 : x
  2. Step 2: Convert to fraction form
    6,096.94/12,981.94 = 12,981.94/x
  3. Step 3: Cross multiply
    6,096.94x = 12,981.94 × 12,981.94
  4. Step 4: Simplify right side
    6,096.94x = 168,530,701.25
  5. Step 5: Solve for x
    x = 168,530,701.25/6,096.94
  6. Step 6: Final answer
    x = 27,641.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.