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Finding the Third Proportional to 38,450 and 82,650

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Solution

The third proportional to 38,450 and 82,650 is: 177,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,450 : 82,650 = 82,650 : x
  2. Step 2: Convert to fraction form
    38,450/82,650 = 82,650/x
  3. Step 3: Cross multiply
    38,450x = 82,650 × 82,650
  4. Step 4: Simplify right side
    38,450x = 6,831,022,500
  5. Step 5: Solve for x
    x = 6,831,022,500/38,450
  6. Step 6: Final answer
    x = 177,659.88

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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.