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Finding the Third Proportional to 20,558.81 and 42,733.62

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Solution

The third proportional to 20,558.81 and 42,733.62 is: 88,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,558.81 : 42,733.62 = 42,733.62 : x
  2. Step 2: Convert to fraction form
    20,558.81/42,733.62 = 42,733.62/x
  3. Step 3: Cross multiply
    20,558.81x = 42,733.62 × 42,733.62
  4. Step 4: Simplify right side
    20,558.81x = 1,826,162,037.93
  5. Step 5: Solve for x
    x = 1,826,162,037.93/20,558.81
  6. Step 6: Final answer
    x = 88,826.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.