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Finding the Third Proportional to 20,224 and 29,676

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Solution

The third proportional to 20,224 and 29,676 is: 43,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224 : 29,676 = 29,676 : x
  2. Step 2: Convert to fraction form
    20,224/29,676 = 29,676/x
  3. Step 3: Cross multiply
    20,224x = 29,676 × 29,676
  4. Step 4: Simplify right side
    20,224x = 880,664,976
  5. Step 5: Solve for x
    x = 880,664,976/20,224
  6. Step 6: Final answer
    x = 43,545.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.