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Finding the Third Proportional to 17,184 and 36,212

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Solution

The third proportional to 17,184 and 36,212 is: 76,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184 : 36,212 = 36,212 : x
  2. Step 2: Convert to fraction form
    17,184/36,212 = 36,212/x
  3. Step 3: Cross multiply
    17,184x = 36,212 × 36,212
  4. Step 4: Simplify right side
    17,184x = 1,311,308,944
  5. Step 5: Solve for x
    x = 1,311,308,944/17,184
  6. Step 6: Final answer
    x = 76,309.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.