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Finding the Third Proportional to 4,606 and 6,177

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Solution

The third proportional to 4,606 and 6,177 is: 8,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606 : 6,177 = 6,177 : x
  2. Step 2: Convert to fraction form
    4,606/6,177 = 6,177/x
  3. Step 3: Cross multiply
    4,606x = 6,177 × 6,177
  4. Step 4: Simplify right side
    4,606x = 38,155,329
  5. Step 5: Solve for x
    x = 38,155,329/4,606
  6. Step 6: Final answer
    x = 8,283.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.