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Finding the Third Proportional to 5,441 and 11,774

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Solution

The third proportional to 5,441 and 11,774 is: 25,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441 : 11,774 = 11,774 : x
  2. Step 2: Convert to fraction form
    5,441/11,774 = 11,774/x
  3. Step 3: Cross multiply
    5,441x = 11,774 × 11,774
  4. Step 4: Simplify right side
    5,441x = 138,627,076
  5. Step 5: Solve for x
    x = 138,627,076/5,441
  6. Step 6: Final answer
    x = 25,478.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.