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Finding the Third Proportional to 33,970 and 48,930

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Solution

The third proportional to 33,970 and 48,930 is: 70,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970 : 48,930 = 48,930 : x
  2. Step 2: Convert to fraction form
    33,970/48,930 = 48,930/x
  3. Step 3: Cross multiply
    33,970x = 48,930 × 48,930
  4. Step 4: Simplify right side
    33,970x = 2,394,144,900
  5. Step 5: Solve for x
    x = 2,394,144,900/33,970
  6. Step 6: Final answer
    x = 70,478.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.