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Finding the Third Proportional to 33,912 and 70,920

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Solution

The third proportional to 33,912 and 70,920 is: 148,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,912 : 70,920 = 70,920 : x
  2. Step 2: Convert to fraction form
    33,912/70,920 = 70,920/x
  3. Step 3: Cross multiply
    33,912x = 70,920 × 70,920
  4. Step 4: Simplify right side
    33,912x = 5,029,646,400
  5. Step 5: Solve for x
    x = 5,029,646,400/33,912
  6. Step 6: Final answer
    x = 148,314.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.