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Finding the Third Proportional to 18,684 and 29,162

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Solution

The third proportional to 18,684 and 29,162 is: 45,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684 : 29,162 = 29,162 : x
  2. Step 2: Convert to fraction form
    18,684/29,162 = 29,162/x
  3. Step 3: Cross multiply
    18,684x = 29,162 × 29,162
  4. Step 4: Simplify right side
    18,684x = 850,422,244
  5. Step 5: Solve for x
    x = 850,422,244/18,684
  6. Step 6: Final answer
    x = 45,516.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.