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Finding the Third Proportional to 20,982.38 and 42,933.94

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Solution

The third proportional to 20,982.38 and 42,933.94 is: 87,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982.38 : 42,933.94 = 42,933.94 : x
  2. Step 2: Convert to fraction form
    20,982.38/42,933.94 = 42,933.94/x
  3. Step 3: Cross multiply
    20,982.38x = 42,933.94 × 42,933.94
  4. Step 4: Simplify right side
    20,982.38x = 1,843,322,989.25
  5. Step 5: Solve for x
    x = 1,843,322,989.25/20,982.38
  6. Step 6: Final answer
    x = 87,851.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.