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Finding the Third Proportional to 2,105.06 and 3,351.19

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Solution

The third proportional to 2,105.06 and 3,351.19 is: 5,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.06 : 3,351.19 = 3,351.19 : x
  2. Step 2: Convert to fraction form
    2,105.06/3,351.19 = 3,351.19/x
  3. Step 3: Cross multiply
    2,105.06x = 3,351.19 × 3,351.19
  4. Step 4: Simplify right side
    2,105.06x = 11,230,457.66
  5. Step 5: Solve for x
    x = 11,230,457.66/2,105.06
  6. Step 6: Final answer
    x = 5,334.98

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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.