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Finding the Third Proportional to 33,692.50 and 52,851

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Solution

The third proportional to 33,692.50 and 52,851 is: 82,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,692.50 : 52,851 = 52,851 : x
  2. Step 2: Convert to fraction form
    33,692.50/52,851 = 52,851/x
  3. Step 3: Cross multiply
    33,692.50x = 52,851 × 52,851
  4. Step 4: Simplify right side
    33,692.50x = 2,793,228,201
  5. Step 5: Solve for x
    x = 2,793,228,201/33,692.50
  6. Step 6: Final answer
    x = 82,903.56

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