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Finding the Third Proportional to 1,900.97 and 3,288.09

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Solution

The third proportional to 1,900.97 and 3,288.09 is: 5,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.97 : 3,288.09 = 3,288.09 : x
  2. Step 2: Convert to fraction form
    1,900.97/3,288.09 = 3,288.09/x
  3. Step 3: Cross multiply
    1,900.97x = 3,288.09 × 3,288.09
  4. Step 4: Simplify right side
    1,900.97x = 10,811,560.51
  5. Step 5: Solve for x
    x = 10,811,560.51/1,900.97
  6. Step 6: Final answer
    x = 5,687.40

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.