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Finding the Third Proportional to 38,728.48 and 82,107.01

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Solution

The third proportional to 38,728.48 and 82,107.01 is: 174,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.48 : 82,107.01 = 82,107.01 : x
  2. Step 2: Convert to fraction form
    38,728.48/82,107.01 = 82,107.01/x
  3. Step 3: Cross multiply
    38,728.48x = 82,107.01 × 82,107.01
  4. Step 4: Simplify right side
    38,728.48x = 6,741,560,531.47
  5. Step 5: Solve for x
    x = 6,741,560,531.47/38,728.48
  6. Step 6: Final answer
    x = 174,072.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.