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Finding the Third Proportional to 17,814 and 26,625

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Solution

The third proportional to 17,814 and 26,625 is: 39,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814 : 26,625 = 26,625 : x
  2. Step 2: Convert to fraction form
    17,814/26,625 = 26,625/x
  3. Step 3: Cross multiply
    17,814x = 26,625 × 26,625
  4. Step 4: Simplify right side
    17,814x = 708,890,625
  5. Step 5: Solve for x
    x = 708,890,625/17,814
  6. Step 6: Final answer
    x = 39,794.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.