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Finding the Third Proportional to 1,896.54 and 4,139.07

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Solution

The third proportional to 1,896.54 and 4,139.07 is: 9,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.54 : 4,139.07 = 4,139.07 : x
  2. Step 2: Convert to fraction form
    1,896.54/4,139.07 = 4,139.07/x
  3. Step 3: Cross multiply
    1,896.54x = 4,139.07 × 4,139.07
  4. Step 4: Simplify right side
    1,896.54x = 17,131,886.88
  5. Step 5: Solve for x
    x = 17,131,886.88/1,896.54
  6. Step 6: Final answer
    x = 9,033.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.