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Finding the Third Proportional to 11,751 and 17,998.50

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Solution

The third proportional to 11,751 and 17,998.50 is: 27,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751 : 17,998.50 = 17,998.50 : x
  2. Step 2: Convert to fraction form
    11,751/17,998.50 = 17,998.50/x
  3. Step 3: Cross multiply
    11,751x = 17,998.50 × 17,998.50
  4. Step 4: Simplify right side
    11,751x = 323,946,002.25
  5. Step 5: Solve for x
    x = 323,946,002.25/11,751
  6. Step 6: Final answer
    x = 27,567.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.