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Finding the Third Proportional to 20,842.31 and 43,142.63

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Solution

The third proportional to 20,842.31 and 43,142.63 is: 89,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.31 : 43,142.63 = 43,142.63 : x
  2. Step 2: Convert to fraction form
    20,842.31/43,142.63 = 43,142.63/x
  3. Step 3: Cross multiply
    20,842.31x = 43,142.63 × 43,142.63
  4. Step 4: Simplify right side
    20,842.31x = 1,861,286,091.89
  5. Step 5: Solve for x
    x = 1,861,286,091.89/20,842.31
  6. Step 6: Final answer
    x = 89,303.24

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.