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Finding the Third Proportional to 38,419.31 and 82,572.75

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Solution

The third proportional to 38,419.31 and 82,572.75 is: 177,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.31 : 82,572.75 = 82,572.75 : x
  2. Step 2: Convert to fraction form
    38,419.31/82,572.75 = 82,572.75/x
  3. Step 3: Cross multiply
    38,419.31x = 82,572.75 × 82,572.75
  4. Step 4: Simplify right side
    38,419.31x = 6,818,259,042.56
  5. Step 5: Solve for x
    x = 6,818,259,042.56/38,419.31
  6. Step 6: Final answer
    x = 177,469.57

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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.