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Finding the Third Proportional to 38,152.50 and 82,872.56

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Solution

The third proportional to 38,152.50 and 82,872.56 is: 180,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,152.50 : 82,872.56 = 82,872.56 : x
  2. Step 2: Convert to fraction form
    38,152.50/82,872.56 = 82,872.56/x
  3. Step 3: Cross multiply
    38,152.50x = 82,872.56 × 82,872.56
  4. Step 4: Simplify right side
    38,152.50x = 6,867,861,615.32
  5. Step 5: Solve for x
    x = 6,867,861,615.32/38,152.50
  6. Step 6: Final answer
    x = 180,010.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.