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Finding the Third Proportional to 3,601.97 and 5,590.27

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Solution

The third proportional to 3,601.97 and 5,590.27 is: 8,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.97 : 5,590.27 = 5,590.27 : x
  2. Step 2: Convert to fraction form
    3,601.97/5,590.27 = 5,590.27/x
  3. Step 3: Cross multiply
    3,601.97x = 5,590.27 × 5,590.27
  4. Step 4: Simplify right side
    3,601.97x = 31,251,069.76
  5. Step 5: Solve for x
    x = 31,251,069.76/3,601.97
  6. Step 6: Final answer
    x = 8,676.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.