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Finding the Third Proportional to 20,558 and 30,826

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Solution

The third proportional to 20,558 and 30,826 is: 46,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,558 : 30,826 = 30,826 : x
  2. Step 2: Convert to fraction form
    20,558/30,826 = 30,826/x
  3. Step 3: Cross multiply
    20,558x = 30,826 × 30,826
  4. Step 4: Simplify right side
    20,558x = 950,242,276
  5. Step 5: Solve for x
    x = 950,242,276/20,558
  6. Step 6: Final answer
    x = 46,222.51

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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.