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Finding the Third Proportional to 8,378 and 17,814

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Solution

The third proportional to 8,378 and 17,814 is: 37,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378 : 17,814 = 17,814 : x
  2. Step 2: Convert to fraction form
    8,378/17,814 = 17,814/x
  3. Step 3: Cross multiply
    8,378x = 17,814 × 17,814
  4. Step 4: Simplify right side
    8,378x = 317,338,596
  5. Step 5: Solve for x
    x = 317,338,596/8,378
  6. Step 6: Final answer
    x = 37,877.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.