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Finding the Third Proportional to 1,441.13 and 2,028.38

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Solution

The third proportional to 1,441.13 and 2,028.38 is: 2,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.13 : 2,028.38 = 2,028.38 : x
  2. Step 2: Convert to fraction form
    1,441.13/2,028.38 = 2,028.38/x
  3. Step 3: Cross multiply
    1,441.13x = 2,028.38 × 2,028.38
  4. Step 4: Simplify right side
    1,441.13x = 4,114,305.14
  5. Step 5: Solve for x
    x = 4,114,305.14/1,441.13
  6. Step 6: Final answer
    x = 2,854.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.