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Finding the Third Proportional to 20,550 and 30,825

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Solution

The third proportional to 20,550 and 30,825 is: 46,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,550 : 30,825 = 30,825 : x
  2. Step 2: Convert to fraction form
    20,550/30,825 = 30,825/x
  3. Step 3: Cross multiply
    20,550x = 30,825 × 30,825
  4. Step 4: Simplify right side
    20,550x = 950,180,625
  5. Step 5: Solve for x
    x = 950,180,625/20,550
  6. Step 6: Final answer
    x = 46,237.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.