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Finding the Third Proportional to 8,936 and 14,084

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Solution

The third proportional to 8,936 and 14,084 is: 22,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,936 : 14,084 = 14,084 : x
  2. Step 2: Convert to fraction form
    8,936/14,084 = 14,084/x
  3. Step 3: Cross multiply
    8,936x = 14,084 × 14,084
  4. Step 4: Simplify right side
    8,936x = 198,359,056
  5. Step 5: Solve for x
    x = 198,359,056/8,936
  6. Step 6: Final answer
    x = 22,197.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.