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Finding the Third Proportional to 38,616.75 and 82,883.25

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Solution

The third proportional to 38,616.75 and 82,883.25 is: 177,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,616.75 : 82,883.25 = 82,883.25 : x
  2. Step 2: Convert to fraction form
    38,616.75/82,883.25 = 82,883.25/x
  3. Step 3: Cross multiply
    38,616.75x = 82,883.25 × 82,883.25
  4. Step 4: Simplify right side
    38,616.75x = 6,869,633,130.56
  5. Step 5: Solve for x
    x = 6,869,633,130.56/38,616.75
  6. Step 6: Final answer
    x = 177,892.58

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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.