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Finding the Third Proportional to 34,274 and 50,124

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Solution

The third proportional to 34,274 and 50,124 is: 73,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,274 : 50,124 = 50,124 : x
  2. Step 2: Convert to fraction form
    34,274/50,124 = 50,124/x
  3. Step 3: Cross multiply
    34,274x = 50,124 × 50,124
  4. Step 4: Simplify right side
    34,274x = 2,512,415,376
  5. Step 5: Solve for x
    x = 2,512,415,376/34,274
  6. Step 6: Final answer
    x = 73,303.83

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Why These Related Problems?

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