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Finding the Third Proportional to 33,717 and 73,008

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Solution

The third proportional to 33,717 and 73,008 is: 158,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,717 : 73,008 = 73,008 : x
  2. Step 2: Convert to fraction form
    33,717/73,008 = 73,008/x
  3. Step 3: Cross multiply
    33,717x = 73,008 × 73,008
  4. Step 4: Simplify right side
    33,717x = 5,330,168,064
  5. Step 5: Solve for x
    x = 5,330,168,064/33,717
  6. Step 6: Final answer
    x = 158,085.48

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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.