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Finding the Third Proportional to 27,294 and 36,675

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Solution

The third proportional to 27,294 and 36,675 is: 49,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294 : 36,675 = 36,675 : x
  2. Step 2: Convert to fraction form
    27,294/36,675 = 36,675/x
  3. Step 3: Cross multiply
    27,294x = 36,675 × 36,675
  4. Step 4: Simplify right side
    27,294x = 1,345,055,625
  5. Step 5: Solve for x
    x = 1,345,055,625/27,294
  6. Step 6: Final answer
    x = 49,280.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.