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Finding the Third Proportional to 2,029.13 and 3,189.75

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Solution

The third proportional to 2,029.13 and 3,189.75 is: 5,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.13 : 3,189.75 = 3,189.75 : x
  2. Step 2: Convert to fraction form
    2,029.13/3,189.75 = 3,189.75/x
  3. Step 3: Cross multiply
    2,029.13x = 3,189.75 × 3,189.75
  4. Step 4: Simplify right side
    2,029.13x = 10,174,505.06
  5. Step 5: Solve for x
    x = 10,174,505.06/2,029.13
  6. Step 6: Final answer
    x = 5,014.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.