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Finding the Third Proportional to 38,832 and 83,505

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Solution

The third proportional to 38,832 and 83,505 is: 179,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,832 : 83,505 = 83,505 : x
  2. Step 2: Convert to fraction form
    38,832/83,505 = 83,505/x
  3. Step 3: Cross multiply
    38,832x = 83,505 × 83,505
  4. Step 4: Simplify right side
    38,832x = 6,973,085,025
  5. Step 5: Solve for x
    x = 6,973,085,025/38,832
  6. Step 6: Final answer
    x = 179,570.59

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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.