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Finding the Third Proportional to 33,678 and 52,677

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Solution

The third proportional to 33,678 and 52,677 is: 82,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678 : 52,677 = 52,677 : x
  2. Step 2: Convert to fraction form
    33,678/52,677 = 52,677/x
  3. Step 3: Cross multiply
    33,678x = 52,677 × 52,677
  4. Step 4: Simplify right side
    33,678x = 2,774,866,329
  5. Step 5: Solve for x
    x = 2,774,866,329/33,678
  6. Step 6: Final answer
    x = 82,394.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.