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Finding the Third Proportional to 33,480 and 73,170

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Solution

The third proportional to 33,480 and 73,170 is: 159,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,480 : 73,170 = 73,170 : x
  2. Step 2: Convert to fraction form
    33,480/73,170 = 73,170/x
  3. Step 3: Cross multiply
    33,480x = 73,170 × 73,170
  4. Step 4: Simplify right side
    33,480x = 5,353,848,900
  5. Step 5: Solve for x
    x = 5,353,848,900/33,480
  6. Step 6: Final answer
    x = 159,911.85

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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.