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Finding the Third Proportional to 9,966 and 16,425

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Solution

The third proportional to 9,966 and 16,425 is: 27,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966 : 16,425 = 16,425 : x
  2. Step 2: Convert to fraction form
    9,966/16,425 = 16,425/x
  3. Step 3: Cross multiply
    9,966x = 16,425 × 16,425
  4. Step 4: Simplify right side
    9,966x = 269,780,625
  5. Step 5: Solve for x
    x = 269,780,625/9,966
  6. Step 6: Final answer
    x = 27,070.10

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.