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Finding the Third Proportional to 33,824 and 48,998

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Solution

The third proportional to 33,824 and 48,998 is: 70,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824 : 48,998 = 48,998 : x
  2. Step 2: Convert to fraction form
    33,824/48,998 = 48,998/x
  3. Step 3: Cross multiply
    33,824x = 48,998 × 48,998
  4. Step 4: Simplify right side
    33,824x = 2,400,804,004
  5. Step 5: Solve for x
    x = 2,400,804,004/33,824
  6. Step 6: Final answer
    x = 70,979.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.