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Finding the Third Proportional to 33,622 and 73,158

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Solution

The third proportional to 33,622 and 73,158 is: 159,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,622 : 73,158 = 73,158 : x
  2. Step 2: Convert to fraction form
    33,622/73,158 = 73,158/x
  3. Step 3: Cross multiply
    33,622x = 73,158 × 73,158
  4. Step 4: Simplify right side
    33,622x = 5,352,092,964
  5. Step 5: Solve for x
    x = 5,352,092,964/33,622
  6. Step 6: Final answer
    x = 159,184.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.