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Finding the Third Proportional to 1,180.83 and 2,690.09

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Solution

The third proportional to 1,180.83 and 2,690.09 is: 6,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.83 : 2,690.09 = 2,690.09 : x
  2. Step 2: Convert to fraction form
    1,180.83/2,690.09 = 2,690.09/x
  3. Step 3: Cross multiply
    1,180.83x = 2,690.09 × 2,690.09
  4. Step 4: Simplify right side
    1,180.83x = 7,236,562.35
  5. Step 5: Solve for x
    x = 7,236,562.35/1,180.83
  6. Step 6: Final answer
    x = 6,128.38

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.