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Finding the Third Proportional to 8,378 and 16,543

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Solution

The third proportional to 8,378 and 16,543 is: 32,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378 : 16,543 = 16,543 : x
  2. Step 2: Convert to fraction form
    8,378/16,543 = 16,543/x
  3. Step 3: Cross multiply
    8,378x = 16,543 × 16,543
  4. Step 4: Simplify right side
    8,378x = 273,670,849
  5. Step 5: Solve for x
    x = 273,670,849/8,378
  6. Step 6: Final answer
    x = 32,665.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.