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Finding the Third Proportional to 9,836 and 17,512

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Solution

The third proportional to 9,836 and 17,512 is: 31,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836 : 17,512 = 17,512 : x
  2. Step 2: Convert to fraction form
    9,836/17,512 = 17,512/x
  3. Step 3: Cross multiply
    9,836x = 17,512 × 17,512
  4. Step 4: Simplify right side
    9,836x = 306,670,144
  5. Step 5: Solve for x
    x = 306,670,144/9,836
  6. Step 6: Final answer
    x = 31,178.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.