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Finding the Third Proportional to 7,096.50 and 10,981.31

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Solution

The third proportional to 7,096.50 and 10,981.31 is: 16,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.50 : 10,981.31 = 10,981.31 : x
  2. Step 2: Convert to fraction form
    7,096.50/10,981.31 = 10,981.31/x
  3. Step 3: Cross multiply
    7,096.50x = 10,981.31 × 10,981.31
  4. Step 4: Simplify right side
    7,096.50x = 120,589,224.22
  5. Step 5: Solve for x
    x = 120,589,224.22/7,096.50
  6. Step 6: Final answer
    x = 16,992.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.