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Finding the Third Proportional to 8,304 and 17,094

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Solution

The third proportional to 8,304 and 17,094 is: 35,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304 : 17,094 = 17,094 : x
  2. Step 2: Convert to fraction form
    8,304/17,094 = 17,094/x
  3. Step 3: Cross multiply
    8,304x = 17,094 × 17,094
  4. Step 4: Simplify right side
    8,304x = 292,204,836
  5. Step 5: Solve for x
    x = 292,204,836/8,304
  6. Step 6: Final answer
    x = 35,188.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.