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Finding the Third Proportional to 17,214 and 37,318

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Solution

The third proportional to 17,214 and 37,318 is: 80,901.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214 : 37,318 = 37,318 : x
  2. Step 2: Convert to fraction form
    17,214/37,318 = 37,318/x
  3. Step 3: Cross multiply
    17,214x = 37,318 × 37,318
  4. Step 4: Simplify right side
    17,214x = 1,392,633,124
  5. Step 5: Solve for x
    x = 1,392,633,124/17,214
  6. Step 6: Final answer
    x = 80,901.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.