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Finding the Third Proportional to 20,882.81 and 32,372.16

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Solution

The third proportional to 20,882.81 and 32,372.16 is: 50,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.81 : 32,372.16 = 32,372.16 : x
  2. Step 2: Convert to fraction form
    20,882.81/32,372.16 = 32,372.16/x
  3. Step 3: Cross multiply
    20,882.81x = 32,372.16 × 32,372.16
  4. Step 4: Simplify right side
    20,882.81x = 1,047,956,500.27
  5. Step 5: Solve for x
    x = 1,047,956,500.27/20,882.81
  6. Step 6: Final answer
    x = 50,182.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.