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Finding the Third Proportional to 27,033.75 and 48,195

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Solution

The third proportional to 27,033.75 and 48,195 is: 85,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033.75 : 48,195 = 48,195 : x
  2. Step 2: Convert to fraction form
    27,033.75/48,195 = 48,195/x
  3. Step 3: Cross multiply
    27,033.75x = 48,195 × 48,195
  4. Step 4: Simplify right side
    27,033.75x = 2,322,758,025
  5. Step 5: Solve for x
    x = 2,322,758,025/27,033.75
  6. Step 6: Final answer
    x = 85,920.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.