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Finding the Third Proportional to 38,407.50 and 80,433

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Solution

The third proportional to 38,407.50 and 80,433 is: 168,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.50 : 80,433 = 80,433 : x
  2. Step 2: Convert to fraction form
    38,407.50/80,433 = 80,433/x
  3. Step 3: Cross multiply
    38,407.50x = 80,433 × 80,433
  4. Step 4: Simplify right side
    38,407.50x = 6,469,467,489
  5. Step 5: Solve for x
    x = 6,469,467,489/38,407.50
  6. Step 6: Final answer
    x = 168,442.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.