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Finding the Third Proportional to 13,554 and 18,414

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Solution

The third proportional to 13,554 and 18,414 is: 25,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554 : 18,414 = 18,414 : x
  2. Step 2: Convert to fraction form
    13,554/18,414 = 18,414/x
  3. Step 3: Cross multiply
    13,554x = 18,414 × 18,414
  4. Step 4: Simplify right side
    13,554x = 339,075,396
  5. Step 5: Solve for x
    x = 339,075,396/13,554
  6. Step 6: Final answer
    x = 25,016.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.