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Finding the Third Proportional to 33,487 and 73,669

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Solution

The third proportional to 33,487 and 73,669 is: 162,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,487 : 73,669 = 73,669 : x
  2. Step 2: Convert to fraction form
    33,487/73,669 = 73,669/x
  3. Step 3: Cross multiply
    33,487x = 73,669 × 73,669
  4. Step 4: Simplify right side
    33,487x = 5,427,121,561
  5. Step 5: Solve for x
    x = 5,427,121,561/33,487
  6. Step 6: Final answer
    x = 162,066.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.