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Finding the Third Proportional to 33,604 and 72,930

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Solution

The third proportional to 33,604 and 72,930 is: 158,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,604 : 72,930 = 72,930 : x
  2. Step 2: Convert to fraction form
    33,604/72,930 = 72,930/x
  3. Step 3: Cross multiply
    33,604x = 72,930 × 72,930
  4. Step 4: Simplify right side
    33,604x = 5,318,784,900
  5. Step 5: Solve for x
    x = 5,318,784,900/33,604
  6. Step 6: Final answer
    x = 158,278.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.