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Finding the Third Proportional to 28,233 and 55,755

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Solution

The third proportional to 28,233 and 55,755 is: 110,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,233 : 55,755 = 55,755 : x
  2. Step 2: Convert to fraction form
    28,233/55,755 = 55,755/x
  3. Step 3: Cross multiply
    28,233x = 55,755 × 55,755
  4. Step 4: Simplify right side
    28,233x = 3,108,620,025
  5. Step 5: Solve for x
    x = 3,108,620,025/28,233
  6. Step 6: Final answer
    x = 110,105.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.