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Finding the Third Proportional to 10,296 and 18,252

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Solution

The third proportional to 10,296 and 18,252 is: 32,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 18,252 = 18,252 : x
  2. Step 2: Convert to fraction form
    10,296/18,252 = 18,252/x
  3. Step 3: Cross multiply
    10,296x = 18,252 × 18,252
  4. Step 4: Simplify right side
    10,296x = 333,135,504
  5. Step 5: Solve for x
    x = 333,135,504/10,296
  6. Step 6: Final answer
    x = 32,355.82

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.