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Finding the Third Proportional to 12,827 and 19,325

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Solution

The third proportional to 12,827 and 19,325 is: 29,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827 : 19,325 = 19,325 : x
  2. Step 2: Convert to fraction form
    12,827/19,325 = 19,325/x
  3. Step 3: Cross multiply
    12,827x = 19,325 × 19,325
  4. Step 4: Simplify right side
    12,827x = 373,455,625
  5. Step 5: Solve for x
    x = 373,455,625/12,827
  6. Step 6: Final answer
    x = 29,114.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.