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Finding the Third Proportional to 1,679.59 and 3,495.44

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Solution

The third proportional to 1,679.59 and 3,495.44 is: 7,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.59 : 3,495.44 = 3,495.44 : x
  2. Step 2: Convert to fraction form
    1,679.59/3,495.44 = 3,495.44/x
  3. Step 3: Cross multiply
    1,679.59x = 3,495.44 × 3,495.44
  4. Step 4: Simplify right side
    1,679.59x = 12,218,083.32
  5. Step 5: Solve for x
    x = 12,218,083.32/1,679.59
  6. Step 6: Final answer
    x = 7,274.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.