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Finding the Third Proportional to 33,256 and 48,911.75

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Solution

The third proportional to 33,256 and 48,911.75 is: 71,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,256 : 48,911.75 = 48,911.75 : x
  2. Step 2: Convert to fraction form
    33,256/48,911.75 = 48,911.75/x
  3. Step 3: Cross multiply
    33,256x = 48,911.75 × 48,911.75
  4. Step 4: Simplify right side
    33,256x = 2,392,359,288.06
  5. Step 5: Solve for x
    x = 2,392,359,288.06/33,256
  6. Step 6: Final answer
    x = 71,937.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.