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Finding the Third Proportional to 33,728 and 53,600

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Solution

The third proportional to 33,728 and 53,600 is: 85,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728 : 53,600 = 53,600 : x
  2. Step 2: Convert to fraction form
    33,728/53,600 = 53,600/x
  3. Step 3: Cross multiply
    33,728x = 53,600 × 53,600
  4. Step 4: Simplify right side
    33,728x = 2,872,960,000
  5. Step 5: Solve for x
    x = 2,872,960,000/33,728
  6. Step 6: Final answer
    x = 85,180.27

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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.