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Finding the Third Proportional to 38,823 and 83,589

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Solution

The third proportional to 38,823 and 83,589 is: 179,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,823 : 83,589 = 83,589 : x
  2. Step 2: Convert to fraction form
    38,823/83,589 = 83,589/x
  3. Step 3: Cross multiply
    38,823x = 83,589 × 83,589
  4. Step 4: Simplify right side
    38,823x = 6,987,120,921
  5. Step 5: Solve for x
    x = 6,987,120,921/38,823
  6. Step 6: Final answer
    x = 179,973.75

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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.