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Finding the Third Proportional to 29,806.50 and 49,093.50

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Solution

The third proportional to 29,806.50 and 49,093.50 is: 80,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.50 : 49,093.50 = 49,093.50 : x
  2. Step 2: Convert to fraction form
    29,806.50/49,093.50 = 49,093.50/x
  3. Step 3: Cross multiply
    29,806.50x = 49,093.50 × 49,093.50
  4. Step 4: Simplify right side
    29,806.50x = 2,410,171,742.25
  5. Step 5: Solve for x
    x = 2,410,171,742.25/29,806.50
  6. Step 6: Final answer
    x = 80,860.61

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.