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Finding the Third Proportional to 38,811.50 and 80,101

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Solution

The third proportional to 38,811.50 and 80,101 is: 165,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,811.50 : 80,101 = 80,101 : x
  2. Step 2: Convert to fraction form
    38,811.50/80,101 = 80,101/x
  3. Step 3: Cross multiply
    38,811.50x = 80,101 × 80,101
  4. Step 4: Simplify right side
    38,811.50x = 6,416,170,201
  5. Step 5: Solve for x
    x = 6,416,170,201/38,811.50
  6. Step 6: Final answer
    x = 165,316.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.