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Finding the Third Proportional to 33,626 and 49,465

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Solution

The third proportional to 33,626 and 49,465 is: 72,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,626 : 49,465 = 49,465 : x
  2. Step 2: Convert to fraction form
    33,626/49,465 = 49,465/x
  3. Step 3: Cross multiply
    33,626x = 49,465 × 49,465
  4. Step 4: Simplify right side
    33,626x = 2,446,786,225
  5. Step 5: Solve for x
    x = 2,446,786,225/33,626
  6. Step 6: Final answer
    x = 72,764.71

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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.