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Finding the Third Proportional to 14,186 and 31,167

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Solution

The third proportional to 14,186 and 31,167 is: 68,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186 : 31,167 = 31,167 : x
  2. Step 2: Convert to fraction form
    14,186/31,167 = 31,167/x
  3. Step 3: Cross multiply
    14,186x = 31,167 × 31,167
  4. Step 4: Simplify right side
    14,186x = 971,381,889
  5. Step 5: Solve for x
    x = 971,381,889/14,186
  6. Step 6: Final answer
    x = 68,474.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.