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Finding the Third Proportional to 40,927.75 and 87,835.25

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Solution

The third proportional to 40,927.75 and 87,835.25 is: 188,503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,927.75 : 87,835.25 = 87,835.25 : x
  2. Step 2: Convert to fraction form
    40,927.75/87,835.25 = 87,835.25/x
  3. Step 3: Cross multiply
    40,927.75x = 87,835.25 × 87,835.25
  4. Step 4: Simplify right side
    40,927.75x = 7,715,031,142.56
  5. Step 5: Solve for x
    x = 7,715,031,142.56/40,927.75
  6. Step 6: Final answer
    x = 188,503.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.