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Finding the Third Proportional to 32,673 and 50,683.50

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Solution

The third proportional to 32,673 and 50,683.50 is: 78,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,673 : 50,683.50 = 50,683.50 : x
  2. Step 2: Convert to fraction form
    32,673/50,683.50 = 50,683.50/x
  3. Step 3: Cross multiply
    32,673x = 50,683.50 × 50,683.50
  4. Step 4: Simplify right side
    32,673x = 2,568,817,172.25
  5. Step 5: Solve for x
    x = 2,568,817,172.25/32,673
  6. Step 6: Final answer
    x = 78,622.02

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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.