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Finding the Third Proportional to 26,678 and 39,497

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Solution

The third proportional to 26,678 and 39,497 is: 58,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,678 : 39,497 = 39,497 : x
  2. Step 2: Convert to fraction form
    26,678/39,497 = 39,497/x
  3. Step 3: Cross multiply
    26,678x = 39,497 × 39,497
  4. Step 4: Simplify right side
    26,678x = 1,560,013,009
  5. Step 5: Solve for x
    x = 1,560,013,009/26,678
  6. Step 6: Final answer
    x = 58,475.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.