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Finding the Third Proportional to 6,297.75 and 12,435.75

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Solution

The third proportional to 6,297.75 and 12,435.75 is: 24,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.75 : 12,435.75 = 12,435.75 : x
  2. Step 2: Convert to fraction form
    6,297.75/12,435.75 = 12,435.75/x
  3. Step 3: Cross multiply
    6,297.75x = 12,435.75 × 12,435.75
  4. Step 4: Simplify right side
    6,297.75x = 154,647,878.06
  5. Step 5: Solve for x
    x = 154,647,878.06/6,297.75
  6. Step 6: Final answer
    x = 24,556.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.