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Finding the Third Proportional to 3,836 and 6,177

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Solution

The third proportional to 3,836 and 6,177 is: 9,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836 : 6,177 = 6,177 : x
  2. Step 2: Convert to fraction form
    3,836/6,177 = 6,177/x
  3. Step 3: Cross multiply
    3,836x = 6,177 × 6,177
  4. Step 4: Simplify right side
    3,836x = 38,155,329
  5. Step 5: Solve for x
    x = 38,155,329/3,836
  6. Step 6: Final answer
    x = 9,946.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.