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Finding the Third Proportional to 34,194 and 51,751

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Solution

The third proportional to 34,194 and 51,751 is: 78,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194 : 51,751 = 51,751 : x
  2. Step 2: Convert to fraction form
    34,194/51,751 = 51,751/x
  3. Step 3: Cross multiply
    34,194x = 51,751 × 51,751
  4. Step 4: Simplify right side
    34,194x = 2,678,166,001
  5. Step 5: Solve for x
    x = 2,678,166,001/34,194
  6. Step 6: Final answer
    x = 78,322.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.