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Finding the Third Proportional to 33,682 and 52,300

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Solution

The third proportional to 33,682 and 52,300 is: 81,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,682 : 52,300 = 52,300 : x
  2. Step 2: Convert to fraction form
    33,682/52,300 = 52,300/x
  3. Step 3: Cross multiply
    33,682x = 52,300 × 52,300
  4. Step 4: Simplify right side
    33,682x = 2,735,290,000
  5. Step 5: Solve for x
    x = 2,735,290,000/33,682
  6. Step 6: Final answer
    x = 81,209.25

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