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Finding the Third Proportional to 4,013 and 6,171

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Solution

The third proportional to 4,013 and 6,171 is: 9,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013 : 6,171 = 6,171 : x
  2. Step 2: Convert to fraction form
    4,013/6,171 = 6,171/x
  3. Step 3: Cross multiply
    4,013x = 6,171 × 6,171
  4. Step 4: Simplify right side
    4,013x = 38,081,241
  5. Step 5: Solve for x
    x = 38,081,241/4,013
  6. Step 6: Final answer
    x = 9,489.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.