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Finding the Third Proportional to 26,456 and 35,269

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Solution

The third proportional to 26,456 and 35,269 is: 47,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,456 : 35,269 = 35,269 : x
  2. Step 2: Convert to fraction form
    26,456/35,269 = 35,269/x
  3. Step 3: Cross multiply
    26,456x = 35,269 × 35,269
  4. Step 4: Simplify right side
    26,456x = 1,243,902,361
  5. Step 5: Solve for x
    x = 1,243,902,361/26,456
  6. Step 6: Final answer
    x = 47,017.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.