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Finding the Third Proportional to 14,251 and 31,171

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Solution

The third proportional to 14,251 and 31,171 is: 68,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251 : 31,171 = 31,171 : x
  2. Step 2: Convert to fraction form
    14,251/31,171 = 31,171/x
  3. Step 3: Cross multiply
    14,251x = 31,171 × 31,171
  4. Step 4: Simplify right side
    14,251x = 971,631,241
  5. Step 5: Solve for x
    x = 971,631,241/14,251
  6. Step 6: Final answer
    x = 68,179.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.