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Finding the Third Proportional to 26,904 and 40,456

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Solution

The third proportional to 26,904 and 40,456 is: 60,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,904 : 40,456 = 40,456 : x
  2. Step 2: Convert to fraction form
    26,904/40,456 = 40,456/x
  3. Step 3: Cross multiply
    26,904x = 40,456 × 40,456
  4. Step 4: Simplify right side
    26,904x = 1,636,687,936
  5. Step 5: Solve for x
    x = 1,636,687,936/26,904
  6. Step 6: Final answer
    x = 60,834.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.