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Finding the Third Proportional to 20,775 and 32,229.75

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Solution

The third proportional to 20,775 and 32,229.75 is: 50,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775 : 32,229.75 = 32,229.75 : x
  2. Step 2: Convert to fraction form
    20,775/32,229.75 = 32,229.75/x
  3. Step 3: Cross multiply
    20,775x = 32,229.75 × 32,229.75
  4. Step 4: Simplify right side
    20,775x = 1,038,756,785.06
  5. Step 5: Solve for x
    x = 1,038,756,785.06/20,775
  6. Step 6: Final answer
    x = 50,000.33

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Why These Related Problems?

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