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Finding the Third Proportional to 7,212.94 and 10,790.57

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Solution

The third proportional to 7,212.94 and 10,790.57 is: 16,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.94 : 10,790.57 = 10,790.57 : x
  2. Step 2: Convert to fraction form
    7,212.94/10,790.57 = 10,790.57/x
  3. Step 3: Cross multiply
    7,212.94x = 10,790.57 × 10,790.57
  4. Step 4: Simplify right side
    7,212.94x = 116,436,410.30
  5. Step 5: Solve for x
    x = 116,436,410.30/7,212.94
  6. Step 6: Final answer
    x = 16,142.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.