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Finding the Third Proportional to 14,318 and 20,162

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Solution

The third proportional to 14,318 and 20,162 is: 28,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318 : 20,162 = 20,162 : x
  2. Step 2: Convert to fraction form
    14,318/20,162 = 20,162/x
  3. Step 3: Cross multiply
    14,318x = 20,162 × 20,162
  4. Step 4: Simplify right side
    14,318x = 406,506,244
  5. Step 5: Solve for x
    x = 406,506,244/14,318
  6. Step 6: Final answer
    x = 28,391.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.