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Finding the Third Proportional to 1,589.63 and 3,391.88

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Solution

The third proportional to 1,589.63 and 3,391.88 is: 7,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.63 : 3,391.88 = 3,391.88 : x
  2. Step 2: Convert to fraction form
    1,589.63/3,391.88 = 3,391.88/x
  3. Step 3: Cross multiply
    1,589.63x = 3,391.88 × 3,391.88
  4. Step 4: Simplify right side
    1,589.63x = 11,504,816.02
  5. Step 5: Solve for x
    x = 11,504,816.02/1,589.63
  6. Step 6: Final answer
    x = 7,237.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.