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Finding the Third Proportional to 5,751 and 10,243.13

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Solution

The third proportional to 5,751 and 10,243.13 is: 18,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751 : 10,243.13 = 10,243.13 : x
  2. Step 2: Convert to fraction form
    5,751/10,243.13 = 10,243.13/x
  3. Step 3: Cross multiply
    5,751x = 10,243.13 × 10,243.13
  4. Step 4: Simplify right side
    5,751x = 104,921,609.77
  5. Step 5: Solve for x
    x = 104,921,609.77/5,751
  6. Step 6: Final answer
    x = 18,244.06

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.