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Finding the Third Proportional to 12,625 and 17,657

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Solution

The third proportional to 12,625 and 17,657 is: 24,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,625 : 17,657 = 17,657 : x
  2. Step 2: Convert to fraction form
    12,625/17,657 = 17,657/x
  3. Step 3: Cross multiply
    12,625x = 17,657 × 17,657
  4. Step 4: Simplify right side
    12,625x = 311,769,649
  5. Step 5: Solve for x
    x = 311,769,649/12,625
  6. Step 6: Final answer
    x = 24,694.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.