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Finding the Third Proportional to 11,682.75 and 18,119.25

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Solution

The third proportional to 11,682.75 and 18,119.25 is: 28,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.75 : 18,119.25 = 18,119.25 : x
  2. Step 2: Convert to fraction form
    11,682.75/18,119.25 = 18,119.25/x
  3. Step 3: Cross multiply
    11,682.75x = 18,119.25 × 18,119.25
  4. Step 4: Simplify right side
    11,682.75x = 328,307,220.56
  5. Step 5: Solve for x
    x = 328,307,220.56/11,682.75
  6. Step 6: Final answer
    x = 28,101.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.