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Finding the Third Proportional to 10,446 and 14,325

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Solution

The third proportional to 10,446 and 14,325 is: 19,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446 : 14,325 = 14,325 : x
  2. Step 2: Convert to fraction form
    10,446/14,325 = 14,325/x
  3. Step 3: Cross multiply
    10,446x = 14,325 × 14,325
  4. Step 4: Simplify right side
    10,446x = 205,205,625
  5. Step 5: Solve for x
    x = 205,205,625/10,446
  6. Step 6: Final answer
    x = 19,644.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.