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Finding the Third Proportional to 754.59 and 1,600.03

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Solution

The third proportional to 754.59 and 1,600.03 is: 3,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.59 : 1,600.03 = 1,600.03 : x
  2. Step 2: Convert to fraction form
    754.59/1,600.03 = 1,600.03/x
  3. Step 3: Cross multiply
    754.59x = 1,600.03 × 1,600.03
  4. Step 4: Simplify right side
    754.59x = 2,560,100.00
  5. Step 5: Solve for x
    x = 2,560,100.00/754.59
  6. Step 6: Final answer
    x = 3,392.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.