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Finding the Third Proportional to 26,104 and 37,212

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Solution

The third proportional to 26,104 and 37,212 is: 53,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,104 : 37,212 = 37,212 : x
  2. Step 2: Convert to fraction form
    26,104/37,212 = 37,212/x
  3. Step 3: Cross multiply
    26,104x = 37,212 × 37,212
  4. Step 4: Simplify right side
    26,104x = 1,384,732,944
  5. Step 5: Solve for x
    x = 1,384,732,944/26,104
  6. Step 6: Final answer
    x = 53,046.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.