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Finding the Third Proportional to 38,950 and 59,194

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Solution

The third proportional to 38,950 and 59,194 is: 89,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,950 : 59,194 = 59,194 : x
  2. Step 2: Convert to fraction form
    38,950/59,194 = 59,194/x
  3. Step 3: Cross multiply
    38,950x = 59,194 × 59,194
  4. Step 4: Simplify right side
    38,950x = 3,503,929,636
  5. Step 5: Solve for x
    x = 3,503,929,636/38,950
  6. Step 6: Final answer
    x = 89,959.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.