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Finding the Third Proportional to 12,825 and 27,474.75

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Solution

The third proportional to 12,825 and 27,474.75 is: 58,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825 : 27,474.75 = 27,474.75 : x
  2. Step 2: Convert to fraction form
    12,825/27,474.75 = 27,474.75/x
  3. Step 3: Cross multiply
    12,825x = 27,474.75 × 27,474.75
  4. Step 4: Simplify right side
    12,825x = 754,861,887.56
  5. Step 5: Solve for x
    x = 754,861,887.56/12,825
  6. Step 6: Final answer
    x = 58,858.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.