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Finding the Third Proportional to 38,232.75 and 82,324.50

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Solution

The third proportional to 38,232.75 and 82,324.50 is: 177,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232.75 : 82,324.50 = 82,324.50 : x
  2. Step 2: Convert to fraction form
    38,232.75/82,324.50 = 82,324.50/x
  3. Step 3: Cross multiply
    38,232.75x = 82,324.50 × 82,324.50
  4. Step 4: Simplify right side
    38,232.75x = 6,777,323,300.25
  5. Step 5: Solve for x
    x = 6,777,323,300.25/38,232.75
  6. Step 6: Final answer
    x = 177,264.87

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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.