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Finding the Third Proportional to 13,966 and 30,441

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Solution

The third proportional to 13,966 and 30,441 is: 66,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966 : 30,441 = 30,441 : x
  2. Step 2: Convert to fraction form
    13,966/30,441 = 30,441/x
  3. Step 3: Cross multiply
    13,966x = 30,441 × 30,441
  4. Step 4: Simplify right side
    13,966x = 926,654,481
  5. Step 5: Solve for x
    x = 926,654,481/13,966
  6. Step 6: Final answer
    x = 66,350.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.