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Finding the Third Proportional to 26,138 and 39,329

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Solution

The third proportional to 26,138 and 39,329 is: 59,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138 : 39,329 = 39,329 : x
  2. Step 2: Convert to fraction form
    26,138/39,329 = 39,329/x
  3. Step 3: Cross multiply
    26,138x = 39,329 × 39,329
  4. Step 4: Simplify right side
    26,138x = 1,546,770,241
  5. Step 5: Solve for x
    x = 1,546,770,241/26,138
  6. Step 6: Final answer
    x = 59,177.07

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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.