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Finding the Third Proportional to 11,037.94 and 11,949.19

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Solution

The third proportional to 11,037.94 and 11,949.19 is: 12,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,037.94 : 11,949.19 = 11,949.19 : x
  2. Step 2: Convert to fraction form
    11,037.94/11,949.19 = 11,949.19/x
  3. Step 3: Cross multiply
    11,037.94x = 11,949.19 × 11,949.19
  4. Step 4: Simplify right side
    11,037.94x = 142,783,081.91
  5. Step 5: Solve for x
    x = 142,783,081.91/11,037.94
  6. Step 6: Final answer
    x = 12,935.67

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Why These Related Problems?

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