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Finding the Third Proportional to 6,389.50 and 13,751

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Solution

The third proportional to 6,389.50 and 13,751 is: 29,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.50 : 13,751 = 13,751 : x
  2. Step 2: Convert to fraction form
    6,389.50/13,751 = 13,751/x
  3. Step 3: Cross multiply
    6,389.50x = 13,751 × 13,751
  4. Step 4: Simplify right side
    6,389.50x = 189,090,001
  5. Step 5: Solve for x
    x = 189,090,001/6,389.50
  6. Step 6: Final answer
    x = 29,593.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.