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Finding the Third Proportional to 2,020.13 and 2,844.75

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Solution

The third proportional to 2,020.13 and 2,844.75 is: 4,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.13 : 2,844.75 = 2,844.75 : x
  2. Step 2: Convert to fraction form
    2,020.13/2,844.75 = 2,844.75/x
  3. Step 3: Cross multiply
    2,020.13x = 2,844.75 × 2,844.75
  4. Step 4: Simplify right side
    2,020.13x = 8,092,602.56
  5. Step 5: Solve for x
    x = 8,092,602.56/2,020.13
  6. Step 6: Final answer
    x = 4,005.99

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