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Finding the Third Proportional to 33,814 and 52,567

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Solution

The third proportional to 33,814 and 52,567 is: 81,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814 : 52,567 = 52,567 : x
  2. Step 2: Convert to fraction form
    33,814/52,567 = 52,567/x
  3. Step 3: Cross multiply
    33,814x = 52,567 × 52,567
  4. Step 4: Simplify right side
    33,814x = 2,763,289,489
  5. Step 5: Solve for x
    x = 2,763,289,489/33,814
  6. Step 6: Final answer
    x = 81,720.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.