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Finding the Third Proportional to 13,181 and 15,504.75

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Solution

The third proportional to 13,181 and 15,504.75 is: 18,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181 : 15,504.75 = 15,504.75 : x
  2. Step 2: Convert to fraction form
    13,181/15,504.75 = 15,504.75/x
  3. Step 3: Cross multiply
    13,181x = 15,504.75 × 15,504.75
  4. Step 4: Simplify right side
    13,181x = 240,397,272.56
  5. Step 5: Solve for x
    x = 240,397,272.56/13,181
  6. Step 6: Final answer
    x = 18,238.17

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.