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Finding the Third Proportional to 5,677 and 12,125

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Solution

The third proportional to 5,677 and 12,125 is: 25,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677 : 12,125 = 12,125 : x
  2. Step 2: Convert to fraction form
    5,677/12,125 = 12,125/x
  3. Step 3: Cross multiply
    5,677x = 12,125 × 12,125
  4. Step 4: Simplify right side
    5,677x = 147,015,625
  5. Step 5: Solve for x
    x = 147,015,625/5,677
  6. Step 6: Final answer
    x = 25,896.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.