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Finding the Third Proportional to 2,114 and 3,171

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Solution

The third proportional to 2,114 and 3,171 is: 4,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114 : 3,171 = 3,171 : x
  2. Step 2: Convert to fraction form
    2,114/3,171 = 3,171/x
  3. Step 3: Cross multiply
    2,114x = 3,171 × 3,171
  4. Step 4: Simplify right side
    2,114x = 10,055,241
  5. Step 5: Solve for x
    x = 10,055,241/2,114
  6. Step 6: Final answer
    x = 4,756.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.