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Finding the Third Proportional to 33,944 and 72,904

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Solution

The third proportional to 33,944 and 72,904 is: 156,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,944 : 72,904 = 72,904 : x
  2. Step 2: Convert to fraction form
    33,944/72,904 = 72,904/x
  3. Step 3: Cross multiply
    33,944x = 72,904 × 72,904
  4. Step 4: Simplify right side
    33,944x = 5,314,993,216
  5. Step 5: Solve for x
    x = 5,314,993,216/33,944
  6. Step 6: Final answer
    x = 156,581.23

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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.