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Finding the Third Proportional to 37,577.25 and 87,378.75

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Solution

The third proportional to 37,577.25 and 87,378.75 is: 203,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,577.25 : 87,378.75 = 87,378.75 : x
  2. Step 2: Convert to fraction form
    37,577.25/87,378.75 = 87,378.75/x
  3. Step 3: Cross multiply
    37,577.25x = 87,378.75 × 87,378.75
  4. Step 4: Simplify right side
    37,577.25x = 7,635,045,951.56
  5. Step 5: Solve for x
    x = 7,635,045,951.56/37,577.25
  6. Step 6: Final answer
    x = 203,182.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.