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Finding the Third Proportional to 20,828 and 44,983

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Solution

The third proportional to 20,828 and 44,983 is: 97,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828 : 44,983 = 44,983 : x
  2. Step 2: Convert to fraction form
    20,828/44,983 = 44,983/x
  3. Step 3: Cross multiply
    20,828x = 44,983 × 44,983
  4. Step 4: Simplify right side
    20,828x = 2,023,470,289
  5. Step 5: Solve for x
    x = 2,023,470,289/20,828
  6. Step 6: Final answer
    x = 97,151.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.