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Finding the Third Proportional to 33,864 and 74,290

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Solution

The third proportional to 33,864 and 74,290 is: 162,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864 : 74,290 = 74,290 : x
  2. Step 2: Convert to fraction form
    33,864/74,290 = 74,290/x
  3. Step 3: Cross multiply
    33,864x = 74,290 × 74,290
  4. Step 4: Simplify right side
    33,864x = 5,519,004,100
  5. Step 5: Solve for x
    x = 5,519,004,100/33,864
  6. Step 6: Final answer
    x = 162,975.55

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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.