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Finding the Third Proportional to 6,297.75 and 13,113.56

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Solution

The third proportional to 6,297.75 and 13,113.56 is: 27,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.75 : 13,113.56 = 13,113.56 : x
  2. Step 2: Convert to fraction form
    6,297.75/13,113.56 = 13,113.56/x
  3. Step 3: Cross multiply
    6,297.75x = 13,113.56 × 13,113.56
  4. Step 4: Simplify right side
    6,297.75x = 171,965,521.44
  5. Step 5: Solve for x
    x = 171,965,521.44/6,297.75
  6. Step 6: Final answer
    x = 27,305.87

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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.