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Finding the Third Proportional to 11,751 and 18,186.50

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Solution

The third proportional to 11,751 and 18,186.50 is: 28,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751 : 18,186.50 = 18,186.50 : x
  2. Step 2: Convert to fraction form
    11,751/18,186.50 = 18,186.50/x
  3. Step 3: Cross multiply
    11,751x = 18,186.50 × 18,186.50
  4. Step 4: Simplify right side
    11,751x = 330,748,782.25
  5. Step 5: Solve for x
    x = 330,748,782.25/11,751
  6. Step 6: Final answer
    x = 28,146.44

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