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Finding the Third Proportional to 38,076.75 and 87,756.75

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Solution

The third proportional to 38,076.75 and 87,756.75 is: 202,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076.75 : 87,756.75 = 87,756.75 : x
  2. Step 2: Convert to fraction form
    38,076.75/87,756.75 = 87,756.75/x
  3. Step 3: Cross multiply
    38,076.75x = 87,756.75 × 87,756.75
  4. Step 4: Simplify right side
    38,076.75x = 7,701,247,170.56
  5. Step 5: Solve for x
    x = 7,701,247,170.56/38,076.75
  6. Step 6: Final answer
    x = 202,255.90

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.