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Finding the Third Proportional to 17,751 and 38,953.50

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Solution

The third proportional to 17,751 and 38,953.50 is: 85,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751 : 38,953.50 = 38,953.50 : x
  2. Step 2: Convert to fraction form
    17,751/38,953.50 = 38,953.50/x
  3. Step 3: Cross multiply
    17,751x = 38,953.50 × 38,953.50
  4. Step 4: Simplify right side
    17,751x = 1,517,375,162.25
  5. Step 5: Solve for x
    x = 1,517,375,162.25/17,751
  6. Step 6: Final answer
    x = 85,481.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.