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Finding the Third Proportional to 4,606 and 6,126

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Solution

The third proportional to 4,606 and 6,126 is: 8,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606 : 6,126 = 6,126 : x
  2. Step 2: Convert to fraction form
    4,606/6,126 = 6,126/x
  3. Step 3: Cross multiply
    4,606x = 6,126 × 6,126
  4. Step 4: Simplify right side
    4,606x = 37,527,876
  5. Step 5: Solve for x
    x = 37,527,876/4,606
  6. Step 6: Final answer
    x = 8,147.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.