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Finding the Third Proportional to 17,294 and 35,222

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Solution

The third proportional to 17,294 and 35,222 is: 71,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,294 : 35,222 = 35,222 : x
  2. Step 2: Convert to fraction form
    17,294/35,222 = 35,222/x
  3. Step 3: Cross multiply
    17,294x = 35,222 × 35,222
  4. Step 4: Simplify right side
    17,294x = 1,240,589,284
  5. Step 5: Solve for x
    x = 1,240,589,284/17,294
  6. Step 6: Final answer
    x = 71,735.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.