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Finding the Third Proportional to 34,186 and 49,935

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Solution

The third proportional to 34,186 and 49,935 is: 72,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186 : 49,935 = 49,935 : x
  2. Step 2: Convert to fraction form
    34,186/49,935 = 49,935/x
  3. Step 3: Cross multiply
    34,186x = 49,935 × 49,935
  4. Step 4: Simplify right side
    34,186x = 2,493,504,225
  5. Step 5: Solve for x
    x = 2,493,504,225/34,186
  6. Step 6: Final answer
    x = 72,939.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.