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Finding the Third Proportional to 10,733 and 16,692.50

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Solution

The third proportional to 10,733 and 16,692.50 is: 25,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733 : 16,692.50 = 16,692.50 : x
  2. Step 2: Convert to fraction form
    10,733/16,692.50 = 16,692.50/x
  3. Step 3: Cross multiply
    10,733x = 16,692.50 × 16,692.50
  4. Step 4: Simplify right side
    10,733x = 278,639,556.25
  5. Step 5: Solve for x
    x = 278,639,556.25/10,733
  6. Step 6: Final answer
    x = 25,961.01

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