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Finding the Third Proportional to 20,705 and 29,269

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Solution

The third proportional to 20,705 and 29,269 is: 41,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705 : 29,269 = 29,269 : x
  2. Step 2: Convert to fraction form
    20,705/29,269 = 29,269/x
  3. Step 3: Cross multiply
    20,705x = 29,269 × 29,269
  4. Step 4: Simplify right side
    20,705x = 856,674,361
  5. Step 5: Solve for x
    x = 856,674,361/20,705
  6. Step 6: Final answer
    x = 41,375.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.