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Finding the Third Proportional to 33,104 and 72,022

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Solution

The third proportional to 33,104 and 72,022 is: 156,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,104 : 72,022 = 72,022 : x
  2. Step 2: Convert to fraction form
    33,104/72,022 = 72,022/x
  3. Step 3: Cross multiply
    33,104x = 72,022 × 72,022
  4. Step 4: Simplify right side
    33,104x = 5,187,168,484
  5. Step 5: Solve for x
    x = 5,187,168,484/33,104
  6. Step 6: Final answer
    x = 156,693.10

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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.