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Finding the Third Proportional to 34,896 and 76,704

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Solution

The third proportional to 34,896 and 76,704 is: 168,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,896 : 76,704 = 76,704 : x
  2. Step 2: Convert to fraction form
    34,896/76,704 = 76,704/x
  3. Step 3: Cross multiply
    34,896x = 76,704 × 76,704
  4. Step 4: Simplify right side
    34,896x = 5,883,503,616
  5. Step 5: Solve for x
    x = 5,883,503,616/34,896
  6. Step 6: Final answer
    x = 168,601.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.