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Finding the Third Proportional to 34,225 and 50,155

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Solution

The third proportional to 34,225 and 50,155 is: 73,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225 : 50,155 = 50,155 : x
  2. Step 2: Convert to fraction form
    34,225/50,155 = 50,155/x
  3. Step 3: Cross multiply
    34,225x = 50,155 × 50,155
  4. Step 4: Simplify right side
    34,225x = 2,515,524,025
  5. Step 5: Solve for x
    x = 2,515,524,025/34,225
  6. Step 6: Final answer
    x = 73,499.61

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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.