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Finding the Third Proportional to 13,858 and 33,549

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Solution

The third proportional to 13,858 and 33,549 is: 81,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858 : 33,549 = 33,549 : x
  2. Step 2: Convert to fraction form
    13,858/33,549 = 33,549/x
  3. Step 3: Cross multiply
    13,858x = 33,549 × 33,549
  4. Step 4: Simplify right side
    13,858x = 1,125,535,401
  5. Step 5: Solve for x
    x = 1,125,535,401/13,858
  6. Step 6: Final answer
    x = 81,219.18

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.