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Finding the Third Proportional to 15,409 and 33,824

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Solution

The third proportional to 15,409 and 33,824 is: 74,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409 : 33,824 = 33,824 : x
  2. Step 2: Convert to fraction form
    15,409/33,824 = 33,824/x
  3. Step 3: Cross multiply
    15,409x = 33,824 × 33,824
  4. Step 4: Simplify right side
    15,409x = 1,144,062,976
  5. Step 5: Solve for x
    x = 1,144,062,976/15,409
  6. Step 6: Final answer
    x = 74,246.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.