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Finding the Third Proportional to 12,816.75 and 27,846.75

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Solution

The third proportional to 12,816.75 and 27,846.75 is: 60,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.75 : 27,846.75 = 27,846.75 : x
  2. Step 2: Convert to fraction form
    12,816.75/27,846.75 = 27,846.75/x
  3. Step 3: Cross multiply
    12,816.75x = 27,846.75 × 27,846.75
  4. Step 4: Simplify right side
    12,816.75x = 775,441,485.56
  5. Step 5: Solve for x
    x = 775,441,485.56/12,816.75
  6. Step 6: Final answer
    x = 60,502.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.