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Finding the Third Proportional to 43,824 and 66,828

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Solution

The third proportional to 43,824 and 66,828 is: 101,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824 : 66,828 = 66,828 : x
  2. Step 2: Convert to fraction form
    43,824/66,828 = 66,828/x
  3. Step 3: Cross multiply
    43,824x = 66,828 × 66,828
  4. Step 4: Simplify right side
    43,824x = 4,465,981,584
  5. Step 5: Solve for x
    x = 4,465,981,584/43,824
  6. Step 6: Final answer
    x = 101,907.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.