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Finding the Third Proportional to 13,861 and 33,418

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Solution

The third proportional to 13,861 and 33,418 is: 80,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861 : 33,418 = 33,418 : x
  2. Step 2: Convert to fraction form
    13,861/33,418 = 33,418/x
  3. Step 3: Cross multiply
    13,861x = 33,418 × 33,418
  4. Step 4: Simplify right side
    13,861x = 1,116,762,724
  5. Step 5: Solve for x
    x = 1,116,762,724/13,861
  6. Step 6: Final answer
    x = 80,568.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.