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Finding the Third Proportional to 14,462 and 31,166

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Solution

The third proportional to 14,462 and 31,166 is: 67,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462 : 31,166 = 31,166 : x
  2. Step 2: Convert to fraction form
    14,462/31,166 = 31,166/x
  3. Step 3: Cross multiply
    14,462x = 31,166 × 31,166
  4. Step 4: Simplify right side
    14,462x = 971,319,556
  5. Step 5: Solve for x
    x = 971,319,556/14,462
  6. Step 6: Final answer
    x = 67,163.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.