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Finding the Third Proportional to 5,313.52 and 11,634.05

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Solution

The third proportional to 5,313.52 and 11,634.05 is: 25,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.52 : 11,634.05 = 11,634.05 : x
  2. Step 2: Convert to fraction form
    5,313.52/11,634.05 = 11,634.05/x
  3. Step 3: Cross multiply
    5,313.52x = 11,634.05 × 11,634.05
  4. Step 4: Simplify right side
    5,313.52x = 135,351,046.69
  5. Step 5: Solve for x
    x = 135,351,046.69/5,313.52
  6. Step 6: Final answer
    x = 25,472.97

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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.