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Finding the Third Proportional to 5,482 and 11,828

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Solution

The third proportional to 5,482 and 11,828 is: 25,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482 : 11,828 = 11,828 : x
  2. Step 2: Convert to fraction form
    5,482/11,828 = 11,828/x
  3. Step 3: Cross multiply
    5,482x = 11,828 × 11,828
  4. Step 4: Simplify right side
    5,482x = 139,901,584
  5. Step 5: Solve for x
    x = 139,901,584/5,482
  6. Step 6: Final answer
    x = 25,520.17

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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.