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Finding the Third Proportional to 4,212 and 9,966

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Solution

The third proportional to 4,212 and 9,966 is: 23,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 9,966 = 9,966 : x
  2. Step 2: Convert to fraction form
    4,212/9,966 = 9,966/x
  3. Step 3: Cross multiply
    4,212x = 9,966 × 9,966
  4. Step 4: Simplify right side
    4,212x = 99,321,156
  5. Step 5: Solve for x
    x = 99,321,156/4,212
  6. Step 6: Final answer
    x = 23,580.52

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.