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Finding the Third Proportional to 2,262.09 and 3,590.44

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Solution

The third proportional to 2,262.09 and 3,590.44 is: 5,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.09 : 3,590.44 = 3,590.44 : x
  2. Step 2: Convert to fraction form
    2,262.09/3,590.44 = 3,590.44/x
  3. Step 3: Cross multiply
    2,262.09x = 3,590.44 × 3,590.44
  4. Step 4: Simplify right side
    2,262.09x = 12,891,241.44
  5. Step 5: Solve for x
    x = 12,891,241.44/2,262.09
  6. Step 6: Final answer
    x = 5,698.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.