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Finding the Third Proportional to 8,122.78 and 16,222.78

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Solution

The third proportional to 8,122.78 and 16,222.78 is: 32,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.78 : 16,222.78 = 16,222.78 : x
  2. Step 2: Convert to fraction form
    8,122.78/16,222.78 = 16,222.78/x
  3. Step 3: Cross multiply
    8,122.78x = 16,222.78 × 16,222.78
  4. Step 4: Simplify right side
    8,122.78x = 263,178,631.49
  5. Step 5: Solve for x
    x = 263,178,631.49/8,122.78
  6. Step 6: Final answer
    x = 32,400.06

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.