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Finding the Third Proportional to 38,065 and 81,950

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Solution

The third proportional to 38,065 and 81,950 is: 176,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,065 : 81,950 = 81,950 : x
  2. Step 2: Convert to fraction form
    38,065/81,950 = 81,950/x
  3. Step 3: Cross multiply
    38,065x = 81,950 × 81,950
  4. Step 4: Simplify right side
    38,065x = 6,715,802,500
  5. Step 5: Solve for x
    x = 6,715,802,500/38,065
  6. Step 6: Final answer
    x = 176,429.86

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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.