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Finding the Third Proportional to 38,486.25 and 79,996.50

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Solution

The third proportional to 38,486.25 and 79,996.50 is: 166,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486.25 : 79,996.50 = 79,996.50 : x
  2. Step 2: Convert to fraction form
    38,486.25/79,996.50 = 79,996.50/x
  3. Step 3: Cross multiply
    38,486.25x = 79,996.50 × 79,996.50
  4. Step 4: Simplify right side
    38,486.25x = 6,399,440,012.25
  5. Step 5: Solve for x
    x = 6,399,440,012.25/38,486.25
  6. Step 6: Final answer
    x = 166,278.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.