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Finding the Third Proportional to 18,186 and 39,162

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Solution

The third proportional to 18,186 and 39,162 is: 84,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186 : 39,162 = 39,162 : x
  2. Step 2: Convert to fraction form
    18,186/39,162 = 39,162/x
  3. Step 3: Cross multiply
    18,186x = 39,162 × 39,162
  4. Step 4: Simplify right side
    18,186x = 1,533,662,244
  5. Step 5: Solve for x
    x = 1,533,662,244/18,186
  6. Step 6: Final answer
    x = 84,332.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.