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Finding the Third Proportional to 1,600.59 and 3,391.03

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Solution

The third proportional to 1,600.59 and 3,391.03 is: 7,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.59 : 3,391.03 = 3,391.03 : x
  2. Step 2: Convert to fraction form
    1,600.59/3,391.03 = 3,391.03/x
  3. Step 3: Cross multiply
    1,600.59x = 3,391.03 × 3,391.03
  4. Step 4: Simplify right side
    1,600.59x = 11,499,092.94
  5. Step 5: Solve for x
    x = 11,499,092.94/1,600.59
  6. Step 6: Final answer
    x = 7,184.27

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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.