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Finding the Third Proportional to 8,144 and 12,378

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Solution

The third proportional to 8,144 and 12,378 is: 18,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144 : 12,378 = 12,378 : x
  2. Step 2: Convert to fraction form
    8,144/12,378 = 12,378/x
  3. Step 3: Cross multiply
    8,144x = 12,378 × 12,378
  4. Step 4: Simplify right side
    8,144x = 153,214,884
  5. Step 5: Solve for x
    x = 153,214,884/8,144
  6. Step 6: Final answer
    x = 18,813.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.