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Finding the Third Proportional to 2,297.11 and 3,195.07

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Solution

The third proportional to 2,297.11 and 3,195.07 is: 4,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.11 : 3,195.07 = 3,195.07 : x
  2. Step 2: Convert to fraction form
    2,297.11/3,195.07 = 3,195.07/x
  3. Step 3: Cross multiply
    2,297.11x = 3,195.07 × 3,195.07
  4. Step 4: Simplify right side
    2,297.11x = 10,208,474.30
  5. Step 5: Solve for x
    x = 10,208,474.30/2,297.11
  6. Step 6: Final answer
    x = 4,444.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.