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Finding the Third Proportional to 12,975.75 and 20,198.25

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Solution

The third proportional to 12,975.75 and 20,198.25 is: 31,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.75 : 20,198.25 = 20,198.25 : x
  2. Step 2: Convert to fraction form
    12,975.75/20,198.25 = 20,198.25/x
  3. Step 3: Cross multiply
    12,975.75x = 20,198.25 × 20,198.25
  4. Step 4: Simplify right side
    12,975.75x = 407,969,303.06
  5. Step 5: Solve for x
    x = 407,969,303.06/12,975.75
  6. Step 6: Final answer
    x = 31,440.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.