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Finding the Third Proportional to 6,236.79 and 13,629.73

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Solution

The third proportional to 6,236.79 and 13,629.73 is: 29,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.79 : 13,629.73 = 13,629.73 : x
  2. Step 2: Convert to fraction form
    6,236.79/13,629.73 = 13,629.73/x
  3. Step 3: Cross multiply
    6,236.79x = 13,629.73 × 13,629.73
  4. Step 4: Simplify right side
    6,236.79x = 185,769,446.17
  5. Step 5: Solve for x
    x = 185,769,446.17/6,236.79
  6. Step 6: Final answer
    x = 29,786.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.