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Finding the Third Proportional to 26,494 and 35,973

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Solution

The third proportional to 26,494 and 35,973 is: 48,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,494 : 35,973 = 35,973 : x
  2. Step 2: Convert to fraction form
    26,494/35,973 = 35,973/x
  3. Step 3: Cross multiply
    26,494x = 35,973 × 35,973
  4. Step 4: Simplify right side
    26,494x = 1,294,056,729
  5. Step 5: Solve for x
    x = 1,294,056,729/26,494
  6. Step 6: Final answer
    x = 48,843.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.