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Finding the Third Proportional to 20,824 and 33,242

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Solution

The third proportional to 20,824 and 33,242 is: 53,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824 : 33,242 = 33,242 : x
  2. Step 2: Convert to fraction form
    20,824/33,242 = 33,242/x
  3. Step 3: Cross multiply
    20,824x = 33,242 × 33,242
  4. Step 4: Simplify right side
    20,824x = 1,105,030,564
  5. Step 5: Solve for x
    x = 1,105,030,564/20,824
  6. Step 6: Final answer
    x = 53,065.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.