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Finding the Third Proportional to 33,995 and 73,213

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Solution

The third proportional to 33,995 and 73,213 is: 157,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,995 : 73,213 = 73,213 : x
  2. Step 2: Convert to fraction form
    33,995/73,213 = 73,213/x
  3. Step 3: Cross multiply
    33,995x = 73,213 × 73,213
  4. Step 4: Simplify right side
    33,995x = 5,360,143,369
  5. Step 5: Solve for x
    x = 5,360,143,369/33,995
  6. Step 6: Final answer
    x = 157,674.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.