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Finding the Third Proportional to 5,183.37 and 11,106.49

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Solution

The third proportional to 5,183.37 and 11,106.49 is: 23,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.37 : 11,106.49 = 11,106.49 : x
  2. Step 2: Convert to fraction form
    5,183.37/11,106.49 = 11,106.49/x
  3. Step 3: Cross multiply
    5,183.37x = 11,106.49 × 11,106.49
  4. Step 4: Simplify right side
    5,183.37x = 123,354,168.71
  5. Step 5: Solve for x
    x = 123,354,168.71/5,183.37
  6. Step 6: Final answer
    x = 23,798.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.