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Finding the Third Proportional to 1,896.54 and 3,838.64

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Solution

The third proportional to 1,896.54 and 3,838.64 is: 7,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.54 : 3,838.64 = 3,838.64 : x
  2. Step 2: Convert to fraction form
    1,896.54/3,838.64 = 3,838.64/x
  3. Step 3: Cross multiply
    1,896.54x = 3,838.64 × 3,838.64
  4. Step 4: Simplify right side
    1,896.54x = 14,735,161.85
  5. Step 5: Solve for x
    x = 14,735,161.85/1,896.54
  6. Step 6: Final answer
    x = 7,769.50

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.