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Finding the Third Proportional to 11,846.25 and 18,486.98

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Solution

The third proportional to 11,846.25 and 18,486.98 is: 28,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.25 : 18,486.98 = 18,486.98 : x
  2. Step 2: Convert to fraction form
    11,846.25/18,486.98 = 18,486.98/x
  3. Step 3: Cross multiply
    11,846.25x = 18,486.98 × 18,486.98
  4. Step 4: Simplify right side
    11,846.25x = 341,768,591.28
  5. Step 5: Solve for x
    x = 341,768,591.28/11,846.25
  6. Step 6: Final answer
    x = 28,850.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.