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Finding the Third Proportional to 12,165 and 14,325

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Solution

The third proportional to 12,165 and 14,325 is: 16,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165 : 14,325 = 14,325 : x
  2. Step 2: Convert to fraction form
    12,165/14,325 = 14,325/x
  3. Step 3: Cross multiply
    12,165x = 14,325 × 14,325
  4. Step 4: Simplify right side
    12,165x = 205,205,625
  5. Step 5: Solve for x
    x = 205,205,625/12,165
  6. Step 6: Final answer
    x = 16,868.53

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.