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Finding the Third Proportional to 33,744 and 53,634

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Solution

The third proportional to 33,744 and 53,634 is: 85,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744 : 53,634 = 53,634 : x
  2. Step 2: Convert to fraction form
    33,744/53,634 = 53,634/x
  3. Step 3: Cross multiply
    33,744x = 53,634 × 53,634
  4. Step 4: Simplify right side
    33,744x = 2,876,605,956
  5. Step 5: Solve for x
    x = 2,876,605,956/33,744
  6. Step 6: Final answer
    x = 85,247.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.