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Finding the Third Proportional to 17,000 and 35,194

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Solution

The third proportional to 17,000 and 35,194 is: 72,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000 : 35,194 = 35,194 : x
  2. Step 2: Convert to fraction form
    17,000/35,194 = 35,194/x
  3. Step 3: Cross multiply
    17,000x = 35,194 × 35,194
  4. Step 4: Simplify right side
    17,000x = 1,238,617,636
  5. Step 5: Solve for x
    x = 1,238,617,636/17,000
  6. Step 6: Final answer
    x = 72,859.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.