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Finding the Third Proportional to 7,832 and 12,228

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Solution

The third proportional to 7,832 and 12,228 is: 19,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 12,228 = 12,228 : x
  2. Step 2: Convert to fraction form
    7,832/12,228 = 12,228/x
  3. Step 3: Cross multiply
    7,832x = 12,228 × 12,228
  4. Step 4: Simplify right side
    7,832x = 149,523,984
  5. Step 5: Solve for x
    x = 149,523,984/7,832
  6. Step 6: Final answer
    x = 19,091.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.