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Finding the Third Proportional to 5,492 and 12,214

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Solution

The third proportional to 5,492 and 12,214 is: 27,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492 : 12,214 = 12,214 : x
  2. Step 2: Convert to fraction form
    5,492/12,214 = 12,214/x
  3. Step 3: Cross multiply
    5,492x = 12,214 × 12,214
  4. Step 4: Simplify right side
    5,492x = 149,181,796
  5. Step 5: Solve for x
    x = 149,181,796/5,492
  6. Step 6: Final answer
    x = 27,163.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.