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Finding the Third Proportional to 33,407 and 69,577

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Solution

The third proportional to 33,407 and 69,577 is: 144,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,407 : 69,577 = 69,577 : x
  2. Step 2: Convert to fraction form
    33,407/69,577 = 69,577/x
  3. Step 3: Cross multiply
    33,407x = 69,577 × 69,577
  4. Step 4: Simplify right side
    33,407x = 4,840,958,929
  5. Step 5: Solve for x
    x = 4,840,958,929/33,407
  6. Step 6: Final answer
    x = 144,908.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.