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Finding the Third Proportional to 11,121.05 and 12,305.67

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Solution

The third proportional to 11,121.05 and 12,305.67 is: 13,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,121.05 : 12,305.67 = 12,305.67 : x
  2. Step 2: Convert to fraction form
    11,121.05/12,305.67 = 12,305.67/x
  3. Step 3: Cross multiply
    11,121.05x = 12,305.67 × 12,305.67
  4. Step 4: Simplify right side
    11,121.05x = 151,429,560.30
  5. Step 5: Solve for x
    x = 151,429,560.30/11,121.05
  6. Step 6: Final answer
    x = 13,616.48

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.