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Finding the Third Proportional to 38,295 and 82,739.25

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Solution

The third proportional to 38,295 and 82,739.25 is: 178,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295 : 82,739.25 = 82,739.25 : x
  2. Step 2: Convert to fraction form
    38,295/82,739.25 = 82,739.25/x
  3. Step 3: Cross multiply
    38,295x = 82,739.25 × 82,739.25
  4. Step 4: Simplify right side
    38,295x = 6,845,783,490.56
  5. Step 5: Solve for x
    x = 6,845,783,490.56/38,295
  6. Step 6: Final answer
    x = 178,764.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.