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Finding the Third Proportional to 11,834.86 and 12,791.67

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Solution

The third proportional to 11,834.86 and 12,791.67 is: 13,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.86 : 12,791.67 = 12,791.67 : x
  2. Step 2: Convert to fraction form
    11,834.86/12,791.67 = 12,791.67/x
  3. Step 3: Cross multiply
    11,834.86x = 12,791.67 × 12,791.67
  4. Step 4: Simplify right side
    11,834.86x = 163,626,869.36
  5. Step 5: Solve for x
    x = 163,626,869.36/11,834.86
  6. Step 6: Final answer
    x = 13,825.84

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.