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Finding the Third Proportional to 21,692.81 and 32,997.38

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Solution

The third proportional to 21,692.81 and 32,997.38 is: 50,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.81 : 32,997.38 = 32,997.38 : x
  2. Step 2: Convert to fraction form
    21,692.81/32,997.38 = 32,997.38/x
  3. Step 3: Cross multiply
    21,692.81x = 32,997.38 × 32,997.38
  4. Step 4: Simplify right side
    21,692.81x = 1,088,826,756.89
  5. Step 5: Solve for x
    x = 1,088,826,756.89/21,692.81
  6. Step 6: Final answer
    x = 50,192.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.