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Finding the Third Proportional to 20,009.75 and 42,935.25

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Solution

The third proportional to 20,009.75 and 42,935.25 is: 92,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.75 : 42,935.25 = 42,935.25 : x
  2. Step 2: Convert to fraction form
    20,009.75/42,935.25 = 42,935.25/x
  3. Step 3: Cross multiply
    20,009.75x = 42,935.25 × 42,935.25
  4. Step 4: Simplify right side
    20,009.75x = 1,843,435,692.56
  5. Step 5: Solve for x
    x = 1,843,435,692.56/20,009.75
  6. Step 6: Final answer
    x = 92,126.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.