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Finding the Third Proportional to 2,171 and 5,252

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Solution

The third proportional to 2,171 and 5,252 is: 12,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171 : 5,252 = 5,252 : x
  2. Step 2: Convert to fraction form
    2,171/5,252 = 5,252/x
  3. Step 3: Cross multiply
    2,171x = 5,252 × 5,252
  4. Step 4: Simplify right side
    2,171x = 27,583,504
  5. Step 5: Solve for x
    x = 27,583,504/2,171
  6. Step 6: Final answer
    x = 12,705.44

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.