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Finding the Third Proportional to 9,831 and 11,175

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Solution

The third proportional to 9,831 and 11,175 is: 12,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831 : 11,175 = 11,175 : x
  2. Step 2: Convert to fraction form
    9,831/11,175 = 11,175/x
  3. Step 3: Cross multiply
    9,831x = 11,175 × 11,175
  4. Step 4: Simplify right side
    9,831x = 124,880,625
  5. Step 5: Solve for x
    x = 124,880,625/9,831
  6. Step 6: Final answer
    x = 12,702.74

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.