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Finding the Third Proportional to 38,974.50 and 85,266

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Solution

The third proportional to 38,974.50 and 85,266 is: 186,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974.50 : 85,266 = 85,266 : x
  2. Step 2: Convert to fraction form
    38,974.50/85,266 = 85,266/x
  3. Step 3: Cross multiply
    38,974.50x = 85,266 × 85,266
  4. Step 4: Simplify right side
    38,974.50x = 7,270,290,756
  5. Step 5: Solve for x
    x = 7,270,290,756/38,974.50
  6. Step 6: Final answer
    x = 186,539.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.