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Finding the Third Proportional to 20,310.75 and 32,268.38

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Solution

The third proportional to 20,310.75 and 32,268.38 is: 51,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,310.75 : 32,268.38 = 32,268.38 : x
  2. Step 2: Convert to fraction form
    20,310.75/32,268.38 = 32,268.38/x
  3. Step 3: Cross multiply
    20,310.75x = 32,268.38 × 32,268.38
  4. Step 4: Simplify right side
    20,310.75x = 1,041,248,025.14
  5. Step 5: Solve for x
    x = 1,041,248,025.14/20,310.75
  6. Step 6: Final answer
    x = 51,265.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.