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Finding the Third Proportional to 38,223 and 81,366.75

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Solution

The third proportional to 38,223 and 81,366.75 is: 173,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,223 : 81,366.75 = 81,366.75 : x
  2. Step 2: Convert to fraction form
    38,223/81,366.75 = 81,366.75/x
  3. Step 3: Cross multiply
    38,223x = 81,366.75 × 81,366.75
  4. Step 4: Simplify right side
    38,223x = 6,620,548,005.56
  5. Step 5: Solve for x
    x = 6,620,548,005.56/38,223
  6. Step 6: Final answer
    x = 173,208.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.