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Finding the Third Proportional to 17,110 and 39,751

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Solution

The third proportional to 17,110 and 39,751 is: 92,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,110 : 39,751 = 39,751 : x
  2. Step 2: Convert to fraction form
    17,110/39,751 = 39,751/x
  3. Step 3: Cross multiply
    17,110x = 39,751 × 39,751
  4. Step 4: Simplify right side
    17,110x = 1,580,142,001
  5. Step 5: Solve for x
    x = 1,580,142,001/17,110
  6. Step 6: Final answer
    x = 92,351.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.