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Finding the Third Proportional to 33,634 and 50,707

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Solution

The third proportional to 33,634 and 50,707 is: 76,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634 : 50,707 = 50,707 : x
  2. Step 2: Convert to fraction form
    33,634/50,707 = 50,707/x
  3. Step 3: Cross multiply
    33,634x = 50,707 × 50,707
  4. Step 4: Simplify right side
    33,634x = 2,571,199,849
  5. Step 5: Solve for x
    x = 2,571,199,849/33,634
  6. Step 6: Final answer
    x = 76,446.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.