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Finding the Third Proportional to 33,945 and 74,582

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Solution

The third proportional to 33,945 and 74,582 is: 163,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945 : 74,582 = 74,582 : x
  2. Step 2: Convert to fraction form
    33,945/74,582 = 74,582/x
  3. Step 3: Cross multiply
    33,945x = 74,582 × 74,582
  4. Step 4: Simplify right side
    33,945x = 5,562,474,724
  5. Step 5: Solve for x
    x = 5,562,474,724/33,945
  6. Step 6: Final answer
    x = 163,867.28

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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.