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Finding the Third Proportional to 18,410 and 40,162

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Solution

The third proportional to 18,410 and 40,162 is: 87,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,410 : 40,162 = 40,162 : x
  2. Step 2: Convert to fraction form
    18,410/40,162 = 40,162/x
  3. Step 3: Cross multiply
    18,410x = 40,162 × 40,162
  4. Step 4: Simplify right side
    18,410x = 1,612,986,244
  5. Step 5: Solve for x
    x = 1,612,986,244/18,410
  6. Step 6: Final answer
    x = 87,614.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.