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Finding the Third Proportional to 12,823.00 and 19,183.24

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Solution

The third proportional to 12,823.00 and 19,183.24 is: 28,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.00 : 19,183.24 = 19,183.24 : x
  2. Step 2: Convert to fraction form
    12,823.00/19,183.24 = 19,183.24/x
  3. Step 3: Cross multiply
    12,823.00x = 19,183.24 × 19,183.24
  4. Step 4: Simplify right side
    12,823.00x = 367,996,556.02
  5. Step 5: Solve for x
    x = 367,996,556.02/12,823.00
  6. Step 6: Final answer
    x = 28,698.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.