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Finding the Third Proportional to 9,771.47 and 20,212.88

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Solution

The third proportional to 9,771.47 and 20,212.88 is: 41,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.47 : 20,212.88 = 20,212.88 : x
  2. Step 2: Convert to fraction form
    9,771.47/20,212.88 = 20,212.88/x
  3. Step 3: Cross multiply
    9,771.47x = 20,212.88 × 20,212.88
  4. Step 4: Simplify right side
    9,771.47x = 408,560,315.77
  5. Step 5: Solve for x
    x = 408,560,315.77/9,771.47
  6. Step 6: Final answer
    x = 41,811.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.