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Finding the Third Proportional to 9,966 and 20,841

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Solution

The third proportional to 9,966 and 20,841 is: 43,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966 : 20,841 = 20,841 : x
  2. Step 2: Convert to fraction form
    9,966/20,841 = 20,841/x
  3. Step 3: Cross multiply
    9,966x = 20,841 × 20,841
  4. Step 4: Simplify right side
    9,966x = 434,347,281
  5. Step 5: Solve for x
    x = 434,347,281/9,966
  6. Step 6: Final answer
    x = 43,582.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.