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Finding the Third Proportional to 33,990 and 74,546

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Solution

The third proportional to 33,990 and 74,546 is: 163,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,990 : 74,546 = 74,546 : x
  2. Step 2: Convert to fraction form
    33,990/74,546 = 74,546/x
  3. Step 3: Cross multiply
    33,990x = 74,546 × 74,546
  4. Step 4: Simplify right side
    33,990x = 5,557,106,116
  5. Step 5: Solve for x
    x = 5,557,106,116/33,990
  6. Step 6: Final answer
    x = 163,492.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.