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Finding the Third Proportional to 2,189.14 and 3,190.80

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Solution

The third proportional to 2,189.14 and 3,190.80 is: 4,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.14 : 3,190.80 = 3,190.80 : x
  2. Step 2: Convert to fraction form
    2,189.14/3,190.80 = 3,190.80/x
  3. Step 3: Cross multiply
    2,189.14x = 3,190.80 × 3,190.80
  4. Step 4: Simplify right side
    2,189.14x = 10,181,197.16
  5. Step 5: Solve for x
    x = 10,181,197.16/2,189.14
  6. Step 6: Final answer
    x = 4,650.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.