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Finding the Third Proportional to 14,000 and 17,756

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Solution

The third proportional to 14,000 and 17,756 is: 22,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000 : 17,756 = 17,756 : x
  2. Step 2: Convert to fraction form
    14,000/17,756 = 17,756/x
  3. Step 3: Cross multiply
    14,000x = 17,756 × 17,756
  4. Step 4: Simplify right side
    14,000x = 315,275,536
  5. Step 5: Solve for x
    x = 315,275,536/14,000
  6. Step 6: Final answer
    x = 22,519.68

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.