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Finding the Third Proportional to 18,233 and 28,563

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Solution

The third proportional to 18,233 and 28,563 is: 44,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,233 : 28,563 = 28,563 : x
  2. Step 2: Convert to fraction form
    18,233/28,563 = 28,563/x
  3. Step 3: Cross multiply
    18,233x = 28,563 × 28,563
  4. Step 4: Simplify right side
    18,233x = 815,844,969
  5. Step 5: Solve for x
    x = 815,844,969/18,233
  6. Step 6: Final answer
    x = 44,745.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.