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Finding the Third Proportional to 3,410.44 and 7,109.44

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Solution

The third proportional to 3,410.44 and 7,109.44 is: 14,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.44 : 7,109.44 = 7,109.44 : x
  2. Step 2: Convert to fraction form
    3,410.44/7,109.44 = 7,109.44/x
  3. Step 3: Cross multiply
    3,410.44x = 7,109.44 × 7,109.44
  4. Step 4: Simplify right side
    3,410.44x = 50,544,101.57
  5. Step 5: Solve for x
    x = 50,544,101.57/3,410.44
  6. Step 6: Final answer
    x = 14,820.42

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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.