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Finding the Third Proportional to 27,595 and 37,267

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Solution

The third proportional to 27,595 and 37,267 is: 50,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,595 : 37,267 = 37,267 : x
  2. Step 2: Convert to fraction form
    27,595/37,267 = 37,267/x
  3. Step 3: Cross multiply
    27,595x = 37,267 × 37,267
  4. Step 4: Simplify right side
    27,595x = 1,388,829,289
  5. Step 5: Solve for x
    x = 1,388,829,289/27,595
  6. Step 6: Final answer
    x = 50,329.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.