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Finding the Third Proportional to 43,578 and 50,683.50

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Solution

The third proportional to 43,578 and 50,683.50 is: 58,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,578 : 50,683.50 = 50,683.50 : x
  2. Step 2: Convert to fraction form
    43,578/50,683.50 = 50,683.50/x
  3. Step 3: Cross multiply
    43,578x = 50,683.50 × 50,683.50
  4. Step 4: Simplify right side
    43,578x = 2,568,817,172.25
  5. Step 5: Solve for x
    x = 2,568,817,172.25/43,578
  6. Step 6: Final answer
    x = 58,947.57

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.