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Finding the Third Proportional to 32,688.56 and 50,511.09

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Solution

The third proportional to 32,688.56 and 50,511.09 is: 78,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688.56 : 50,511.09 = 50,511.09 : x
  2. Step 2: Convert to fraction form
    32,688.56/50,511.09 = 50,511.09/x
  3. Step 3: Cross multiply
    32,688.56x = 50,511.09 × 50,511.09
  4. Step 4: Simplify right side
    32,688.56x = 2,551,370,591.82
  5. Step 5: Solve for x
    x = 2,551,370,591.82/32,688.56
  6. Step 6: Final answer
    x = 78,050.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.