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Finding the Third Proportional to 34,251 and 50,269.50

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Solution

The third proportional to 34,251 and 50,269.50 is: 73,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,251 : 50,269.50 = 50,269.50 : x
  2. Step 2: Convert to fraction form
    34,251/50,269.50 = 50,269.50/x
  3. Step 3: Cross multiply
    34,251x = 50,269.50 × 50,269.50
  4. Step 4: Simplify right side
    34,251x = 2,527,022,630.25
  5. Step 5: Solve for x
    x = 2,527,022,630.25/34,251
  6. Step 6: Final answer
    x = 73,779.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.