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Finding the Third Proportional to 10,183.22 and 16,203.80

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Solution

The third proportional to 10,183.22 and 16,203.80 is: 25,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.22 : 16,203.80 = 16,203.80 : x
  2. Step 2: Convert to fraction form
    10,183.22/16,203.80 = 16,203.80/x
  3. Step 3: Cross multiply
    10,183.22x = 16,203.80 × 16,203.80
  4. Step 4: Simplify right side
    10,183.22x = 262,563,033.17
  5. Step 5: Solve for x
    x = 262,563,033.17/10,183.22
  6. Step 6: Final answer
    x = 25,783.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.