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Finding the Third Proportional to 38,361 and 85,650

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Solution

The third proportional to 38,361 and 85,650 is: 191,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,361 : 85,650 = 85,650 : x
  2. Step 2: Convert to fraction form
    38,361/85,650 = 85,650/x
  3. Step 3: Cross multiply
    38,361x = 85,650 × 85,650
  4. Step 4: Simplify right side
    38,361x = 7,335,922,500
  5. Step 5: Solve for x
    x = 7,335,922,500/38,361
  6. Step 6: Final answer
    x = 191,233.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.