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Finding the Third Proportional to 33,656 and 52,800

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Solution

The third proportional to 33,656 and 52,800 is: 82,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656 : 52,800 = 52,800 : x
  2. Step 2: Convert to fraction form
    33,656/52,800 = 52,800/x
  3. Step 3: Cross multiply
    33,656x = 52,800 × 52,800
  4. Step 4: Simplify right side
    33,656x = 2,787,840,000
  5. Step 5: Solve for x
    x = 2,787,840,000/33,656
  6. Step 6: Final answer
    x = 82,833.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.