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Finding the Third Proportional to 33,804 and 74,520

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Solution

The third proportional to 33,804 and 74,520 is: 164,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,804 : 74,520 = 74,520 : x
  2. Step 2: Convert to fraction form
    33,804/74,520 = 74,520/x
  3. Step 3: Cross multiply
    33,804x = 74,520 × 74,520
  4. Step 4: Simplify right side
    33,804x = 5,553,230,400
  5. Step 5: Solve for x
    x = 5,553,230,400/33,804
  6. Step 6: Final answer
    x = 164,277.32

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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.