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Finding the Third Proportional to 11,939.06 and 24,858.56

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Solution

The third proportional to 11,939.06 and 24,858.56 is: 51,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,939.06 : 24,858.56 = 24,858.56 : x
  2. Step 2: Convert to fraction form
    11,939.06/24,858.56 = 24,858.56/x
  3. Step 3: Cross multiply
    11,939.06x = 24,858.56 × 24,858.56
  4. Step 4: Simplify right side
    11,939.06x = 617,948,129.57
  5. Step 5: Solve for x
    x = 617,948,129.57/11,939.06
  6. Step 6: Final answer
    x = 51,758.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.