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Finding the Third Proportional to 20,083 and 43,741

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Solution

The third proportional to 20,083 and 43,741 is: 95,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083 : 43,741 = 43,741 : x
  2. Step 2: Convert to fraction form
    20,083/43,741 = 43,741/x
  3. Step 3: Cross multiply
    20,083x = 43,741 × 43,741
  4. Step 4: Simplify right side
    20,083x = 1,913,275,081
  5. Step 5: Solve for x
    x = 1,913,275,081/20,083
  6. Step 6: Final answer
    x = 95,268.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.