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Finding the Third Proportional to 32,766 and 49,093

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Solution

The third proportional to 32,766 and 49,093 is: 73,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,766 : 49,093 = 49,093 : x
  2. Step 2: Convert to fraction form
    32,766/49,093 = 49,093/x
  3. Step 3: Cross multiply
    32,766x = 49,093 × 49,093
  4. Step 4: Simplify right side
    32,766x = 2,410,122,649
  5. Step 5: Solve for x
    x = 2,410,122,649/32,766
  6. Step 6: Final answer
    x = 73,555.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.