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Finding the Third Proportional to 11,855.34 and 24,806.72

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Solution

The third proportional to 11,855.34 and 24,806.72 is: 51,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.34 : 24,806.72 = 24,806.72 : x
  2. Step 2: Convert to fraction form
    11,855.34/24,806.72 = 24,806.72/x
  3. Step 3: Cross multiply
    11,855.34x = 24,806.72 × 24,806.72
  4. Step 4: Simplify right side
    11,855.34x = 615,373,295.14
  5. Step 5: Solve for x
    x = 615,373,295.14/11,855.34
  6. Step 6: Final answer
    x = 51,906.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.