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Finding the Third Proportional to 13,653 and 18,533.25

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Solution

The third proportional to 13,653 and 18,533.25 is: 25,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653 : 18,533.25 = 18,533.25 : x
  2. Step 2: Convert to fraction form
    13,653/18,533.25 = 18,533.25/x
  3. Step 3: Cross multiply
    13,653x = 18,533.25 × 18,533.25
  4. Step 4: Simplify right side
    13,653x = 343,481,355.56
  5. Step 5: Solve for x
    x = 343,481,355.56/13,653
  6. Step 6: Final answer
    x = 25,157.94

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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.