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Finding the Third Proportional to 20,863.41 and 43,184.81

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Solution

The third proportional to 20,863.41 and 43,184.81 is: 89,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.41 : 43,184.81 = 43,184.81 : x
  2. Step 2: Convert to fraction form
    20,863.41/43,184.81 = 43,184.81/x
  3. Step 3: Cross multiply
    20,863.41x = 43,184.81 × 43,184.81
  4. Step 4: Simplify right side
    20,863.41x = 1,864,928,030.66
  5. Step 5: Solve for x
    x = 1,864,928,030.66/20,863.41
  6. Step 6: Final answer
    x = 89,387.51

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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.