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Finding the Third Proportional to 11,826 and 27,378

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Solution

The third proportional to 11,826 and 27,378 is: 63,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826 : 27,378 = 27,378 : x
  2. Step 2: Convert to fraction form
    11,826/27,378 = 27,378/x
  3. Step 3: Cross multiply
    11,826x = 27,378 × 27,378
  4. Step 4: Simplify right side
    11,826x = 749,554,884
  5. Step 5: Solve for x
    x = 749,554,884/11,826
  6. Step 6: Final answer
    x = 63,381.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.