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Finding the Third Proportional to 57,936.52 and 82,692.14

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Solution

The third proportional to 57,936.52 and 82,692.14 is: 118,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,936.52 : 82,692.14 = 82,692.14 : x
  2. Step 2: Convert to fraction form
    57,936.52/82,692.14 = 82,692.14/x
  3. Step 3: Cross multiply
    57,936.52x = 82,692.14 × 82,692.14
  4. Step 4: Simplify right side
    57,936.52x = 6,837,990,121.14
  5. Step 5: Solve for x
    x = 6,837,990,121.14/57,936.52
  6. Step 6: Final answer
    x = 118,025.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.